SHIGUI RUAN'S PUBLICATIONS
PAPERS IN REFEREED JOURNALS AND PROCEEDINGS
- H. Kang and S. Ruan,
Principal spectral theory
and asynchronous exponential growth for age-structured models with nonlocal
diffusion of Neumann type, Mathematische Annalen (2021), pp. 1-49.
https://doi.org/10.1007/s00208-021-02270-y.
- M. Lu, J. Huang, S. Ruan and P. Yu (2021),
Global dynamics of
a susceptible-infectious-recovered epidemic model with a
generalized nonmonotone incidence rate,
Journal of Dynamics and Differential Equations 33, 1625-1661.
- B. Ambrosio, A. Ducrot and S. Ruan (2021),
Generalized traveling
waves for time-dependent reaction-diffusion systems,
Mathematische Annalen 318, 1-27.
- H. Kang and S. Ruan (2021),
Mathematical analysis on an
age-structured SIS epidemic
model with nonlocal diffusion, Journal of Mathematical Biology
83: 5 (pp. 1-30).
- X. Huo, J. Chen and S. Ruan (2021),
Estimating asymptomatic,
undetected and total cases for the COVID-19 outbreak in Wuhan: a mathematical
modeling study, BMC Infectious Diseases 21: 476 (pp. 1-18).
- T.-H. Hsu and S. Ruan (2021),
Relaxation
oscillations and the entry-exit function in multi-dimensional
slow-fast systems,
SIAM Journal on Mathematical Analysis 53(4), 3717-3758.
- H. Kang and S. Ruan (2021),
Approximation
of random diffusion by nonlocal diffusion in age-structured models,
Zeitschrift fuer angewandte Mathematik und Physik 72, 108 (pp.1-17
).
- Q. Su and S. Ruan (2021),
Periodic solutions of
partial functional differential equations,
Proceedings of the American Mathematical Society Series B
8, 145-157.
- H. Kang, X. Huo and S. Ruan (2021),
On first-order
hyperbolic partial differential equations with two internal variables modeling
population dynamics of two physiological structures,
Annali di Matematica Pura ed Applicata 200, 403-452.
- M. Lu, Y. Shu, J. Huang, S. Ruan, X. Zhang and L. Zou (2021),
Modelling homosexual and
heterosexual transmissions of hepatitis B virus in China,
Journal of Biological Dynamics 15, 177-194.
- W.-B. Xu, W.-T. Li and S. Ruan (2021), Spatial propagation in nonlocal dispersal Fisher-KPP equations,
Journal of Functional Analysis 280, 108957 (pp. 1-35).
- H. Kang and S. Ruan (2021), Nonlinear
age-structured population models with nonlocal diffusion and nonlocal boundary
conditions, Journal of Differential Equations 278, 430-462.
- X. Chen, W. Jiang and S. Ruan (2021),
Global dynamics and complex
patterns in Lotka-Volterra systems: The effects of both local and nonlocal
intraspecific and interspecific competitions, Journal of Mathematical
Analysis and Applications 499, 125015 (pp. 1-18).
- S. Ruan (2021), Nonlinear
dynamics in tumor-immune system interaction models with delays,
Discrete and Continuous Dynamical Systems - Series B 26, 541-602.
- X. Jiang, Z. She and S. Ruan (2021),
Global dynamics of a
predator-prey system with density-dependent
mortality and ratio-dependent functional response,
Discrete and Continuous Dynamical Systems Series B 26, 1967-1990.
- D. Bai, Y. Kang, S. Ruan and L. Wang (2021),
Dynamics of an intraguild
predation food web model with strong Allee effect in the basal prey,
Nonlinear Analysis: Real World Applications 58, 103206. pp. 1-36.
- W.-B. Xu, W.-T. Li and S. Ruan (2020),
Spatial propagation
in an epidemic model with nonlocal diffusion: the influences of initial
data and dispersal, Science China Mathematics 63, 2177-2206.
- Q. Su and S. Ruan (2020),
Existence of periodic solutions
in abstract semilinear equations and applications to biological models,
Journal of Differential Equations 269, 11020-11061.
- S. Shi, J. Huang, J. Wen and S. Ruan (2020),
Bifurcation analysis of a dynamical model for the innate immune response to initial pulmonary infections, International Journal of Bifurcation and Chaos
30, No. 16, 2050252. pp. 1-22.
- Y. Liu, S. Ruan and L. Yang (2020),
Stability transition of
persistence and extinction in an avian
influenza model with Allee effect and stochasticity,
Communications in Nonlinear Science and Numerical Simulation
91, 105416.
- H. Kang, X. Huo and S. Ruan (2020),
Nonlinear
physiologically-structured population models with two internal variables,
Journal of Nonlinear Science 30, 2847-2884.
- H. Kang, S. Ruan and X. Yu,
Age-structured population
dynamics with nonlocal diffusion,
Journal of Dynamics and Differential Equations (2020), pp. 1-35. doi.org/10.1007/s10884-020-09860-5.
- L. Zou and S. Ruan (2020),
A patch model of
COVID-19: the effects of containment on Chongqing,
Acta Mathematicae Applicatae Sinica 43(2), 310-323.
- H. Kang, Q. Huang and S. Ruan (2020),
Periodic solutions of an
age-structured epidemic model with a periodic infection rate,
Communication Pure and Applied Analysis 19(10), 4955-4972.
- G. Lin, Y. Niu, S. Pan and S. Ruan (2020),
Spreading speed in an
integrodifference predator-prey system without comparison principle,
Bulletin of Mathematical Biology 82, 53.
- Z. Liu, C. Tian and S. Ruan (2020),
On a network model for two
competitors with applications to the invasion and competition of Aedes
Albopictus and Aedes Aegypti mosquitoes in the United States,
SIAM Journal on Applied Mathematics 80(2), 929-950.
- J.-W. Bo, G. Lin and S. Ruan (2020),
The effect of initial values on
extinction or persistence in degenerate diffusion competition systems,
Journal of Mathematical Biology 80, 1423-1458.
- H. Zhao, P. Wu and S. Ruan (2020),
Dynamic analysis and optimal
control of a three-age-class HIV/AIDS epidemic model in China,
Discrete and Continuous Dynamical Systems Series B
25(9), 3491-3521.
- C. Xiang, J. Huang, S. Ruan and D. Xiao (2020),
Bifurcation analysis in a
host-generalist parasitoid model with Holling II functional response,
Journal of Differential Equations 268, 4618-4662.
- L. Zhao, Z.-C. Wang and S. Ruan (2020),
Dynamics of a time-periodic
two-strain SIS epidemic model with diffusion and latent period,
Nonlinear Analysis: Real World Applications 51, 102966 (pp.28).
- Q. Huang, X. Huo, D. Miller and S. Ruan (2019),
Modeling the seasonality of
methicillin-resistant Staphylococcus aureus infections in hospitals with
environmental contamination, Journal of Biological Dynamics
13 (sup1), 99-122.
- J. Huang, S. Ruan, P. Yu and Y. Zhang (2019),
Bifurcation analysis of a
mosquito population model with a saturated release rate of sterile mosquitoes,
SIAM Journal on Applied Dynamical Systems 18 (2), 939-972.
SIAM News Nugget: Modeling Sterile Mosquito Release
to Control Disease, July 15, 2019.
- Y. Lou, K. Liu, D. He, D. Gao and S. Ruan (2019),
Modelling dispause in
mosquito population growth, Journal of Mathematical Biology
78, 2259-2288.
- Q. Huang, M. A. Horn and S. Ruan (2019),
Modeling the effect of
antibiotic exposure on the transmission of methicillin-resistant
Staphylococcus aureus in hospitals with environmental contamination,
Mathematical Biosciences and Engineering 16 (5), 3641-3673.
- F.-Y. Yang, W.-T. Li and S. Ruan (2019),
Dynamics of a nonlocal dispersal SIS
epidemic model with Neumann boundary conditions,
Journal of Differential Equations 267, 2011-2051.
- M. Lu, J. Huang, S. Ruan and P. Yu (2019),
Bifurcation analysis of a SIRS
epidemic model with a generalized
nonmonotone and saturated incidence rate,
Journal of Differential Equations 267, 1859-1898.
- J. Pang, J. Chen, Z. Liu, P. Bi and S. Ruan (2019),
Local and global stabilities
of a viral dynamics model with infection-age and
immune response, Journal of Dynamics and Differential Equations
31, 793-813.
- C. Tian and S. Ruan (2019),
Pattern formation and patchiness
in an allelopathic plankton model with delay in a network,
SIAM Journal on Applied Dynamical Systems 18, 531-557.
- Q. Huang, X. Huo and S. Ruan (2019),
Optimal control of environmental cleaning and
antibiotic prescription in an epidemiological model of
Methicillin-resistant Staphylococcus aureus infections in hospitals,
Mathematical Biosciences 311, 13-30.
- J. Huang, S. Ruan, Y. Shu and X. Wu (2019),
Modeling the transmission dynamics
of rabies for dog, Chinese ferret badger and human interactions in Zhejiang
Province, China, Bulletin of Mathematical Biology
81, 939-962.
- L. Zhao, Z.-C. Wang and S. Ruan (2018),
Traveling wave solutions in a
two-group SIR epidemic model with constant recruitment,
Journal of Mathematical Biology 77, 1871-1915.
- J. Huang, S. Ruan, X. Wu and X. Zhou (2018),
Seasonal
transmission dynamics
of measles in China, Theory in Biosciences 137, 185-195.
- J. Chen, J. C. Beier, R. S. Cantrell, C. Cosner, D. O. Fuller, Y. Guan, G. Zhang and S.
Ruan (2018),
Modeling the importation and local transmission of
vector-borne diseases in Florida: The case of Zika
outbreak in 2016, Journal of Theoretical Biology 455, 342-356.
- L. Zou, J. Chen, X. Feng and S. Ruan (2018),
Analysis of a dengue model
with vertical transmission and application to the 2014 dengue
outbreak in Guangdong Province, China,
Bulletin of Mathematical Biology 80, 2633-2651.
- B. Tang, X. Huo, Y. Xiao, S. Ruan and J. Wu (2018),
A conceptual
model for optimizing vaccine coverage to reduce vector-borne
infections in the presence of antibody-dependent enhancement,
Theoretical Biology and Medical Modelling 15, 13.
https://doi.org/10.1186/s12976-018-0085-x.
- C. Tian and S. Ruan (2018),
On an advection-reaction-diffusion
competition system with double free boundaries modeling invasion and
competition of Aedes Albopictus and Aedes Aegypti mosquitoes,
Journal of Differential Equations 265, 4016-4051.
- G. Zhao and S. Ruan (2018),
Spatial and temporal dynamics of a
nonlocal viral infection model, SIAM Journal on Applied Mathematics
78, 1954-1980.
- W.-J. Bo, G. Lin and S. Ruan (2018),
Traveling wave solutions for
the periodic reaction-diffusion systems,
Discrete and Continuous Dynamical Systems 38, 4329-4351.
- Z. Liu, J. Chen, J. Pang, P. Bi and S. Ruan (2018),
Modelling and analysis of a nonlinear age-structured
model for tumor cell populations with quiescence,
Journal of Nonlinear Science 28, 1763-1791.
- J. Huang, S. Liu, S. Ruan and D. Xiao (2018),
Bifurcations in a discrete predator-prey model with
nonmonotonic functional response,
Journal of Mathematical Analysis and Applications 264, 201-230.
- W.-B. Xu, W.-T. Li and S. Ruan (2018),
Fast propagation for reaction-diffusion cooperative systems,
Journal of Differential Equations 265, 645-670.
- X. Zhang, L. Zou, J. Chen, Y. Fang. J. Huang, J. Zhang, S. Liu, G. Feng,
C. Yang and S. Ruan (2017), Avian
influenza A H7N9 virus has been established in China, Journal of
Biological Systems 25(4), 605-623.
- S. Ruan, J. Wei and D. Xiao (2017), On the
distribution of zeros of a third-degree exponential polynomial
with applications to delayed biological systems, Journal of Nanjing
University of Information Science and Technology 9(4), 381-390.
- S. Ruan (2017), Spatiotemporal
epidemic models for rabies among animals, Infectious Disease Modelling
2, 277-287.
- L.-M. Cai, X.-Z. Li, B. Fang and S. Ruan (2017),
Global properties of
vector-host disease models with time delays,
Journal of Mathematical Biology 74, 1397-1423.
- L. Zou, J. Chen and S. Ruan (2017),
Modeling and analyzing the
transmission dynamics of visceral leishmaniasis,
Mathematical Biosciences and Engineering 14, 1586-1604.
- L. Wang and S. Ruan (2017),
Modeling nosocomial infections of
Methicillin-Resistant Staphylococcus aureus with environment
contamination, Scientific Reports 7, 580.
doi:10.1038/s41598-017-00261-1.
- D. He, D. Gao, Y. Lou, S. Zhao and S. Ruan (2017),
A comparison study of Zika virus
outbreaks in French Polynesia, Colombia and the State of Bahia in Brazil,
Scientific Reports 7, 273. doi:10.1038/s41598-017-00253-1.
- S. Ruan (2017), Modeling the transmission dynamics and
control of rabies in China, Mathematical Biosciences 286, 65-93.
- C. Tian and S. Ruan (2017), A free boundary problem
for Aedes aegypti mosquito invasion, Applied Mathematical Modelling 46, 203-217.
- L. Zhao, Z.-C. Wang and S. Ruan (2017),
Traveling
wave solutions in a two-group
epidemic model with latent period, Nonlinearity 30, 1287-1325.
- L. Zhang, F. Zhang and S. Ruan (2017),
Linear and weakly nonlinear
stability analyses of Turing patterns for diffusive
predator-prey systems in freshwater marsh
landscapes, Bulletin of Mathematical Biology 79, 560-593.
- Y. Li, Z. Teng, S. Ruan, M. Li and X. Feng (2017), A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland
regions of China, Mathematical Biosciences and Engineering 14, 1279-1299.
- Z.-C. Wang, H.-L. Niu and S. Ruan (2017),
On the existence of axisymmetric
traveling fronts in Lotka-Volterra competition-diffusion systems in $R^3$,
Discrete and Continuous Dynamical Systems - Series B 22(3),
1111-1144.
- S. Liu, S. Ruan and X. Zhang (2017), Nonlinear
dynamics of avian influenza epidemic models,
Mathematical Biosciences 283, 118-135.
- J. Huang, Z. Liu and S. Ruan (2017), Bifurcation
and temporal periodic patterns in a plant-pollinator model with diffusion and time delay,
Journal of Biological Dynamics 11, No. S1, 138-159.
- J. Chen, J, Huang, J. C. Beier, S. R. Cantrell, C. Cosner, D. O. Fuller, G. Zhang and S. Ruan (2016),
Modeling
and control of local outbreaks of West Nile Virus in the United States,
Discrete and Continuous Dynamical Systems - Series B 21(8), 2423-2449.
- Z.-C. Wang, W.-T. Li and S. Ruan (2016), Existence, uniqueness
and stability of pyramidal traveling fronts in reaction-diffusion systems,
Science China - Mathematics 59(10), 1868-1908.
- J. Chu, Z. Liu, P. Magal and S. Ruan (2016), Normal
forms for an age structured model, Journal of Dynamics and Differential
Equations 28, 733-761.
- D. Gao, Y. Lou, D. He, T. C. Porco, Y. Kuang, G. Chowell and S. Ruan
(2016), Prevention and control of Zika
as a mosquito-borne and sexually transmitted disease: A mathematical modeling
analysis, Scientific Reports 6, 28070. doi: 10.1038/srep28070.
- D. Gao, T. C. Porco and S. Ruan (2016), Coinfection
dynamics of two diseases in a single host population, Journal of Mathematical Analysis and
Applications 442, 171-188.
- J. Huang, X. Xia, X. Zhang and S. Ruan (2016), Bifurcation of codimension 3 in a predator-prey system of Leslie
type with simplified Holling type IV functional response,
International Journal of Bifurcation and Chaos 26(2), 1650034 (11 pages).
- J. Huang, S. Liu, S. Ruan and X. Zhang (2016), Bogdanov-Takens
bifurcation of codimension 3 in a predator-prey model with constant-yield
predator harvesting, Communications on Pure and Applied Analysis 15(2), 1053-1067.
- H. Gil, W. A. Qualls, C. Cosner, D. L. DeAngelis, A. Hassan, A. M. Gad, S. Ruan, S. R. Cantrell, and J. C. Beier (2016),
A
model for the coupling of the
Greater Bairam and local environmental factors in promoting
Rift-Valley Fever epizootics in Egypt, Public Health 130, 64-70.
- G. Lin and S. Ruan (2016), Persistence
and failure of complete spreading in
delayed reaction-diffusion equations,
Proceedings of the American Mathematical Society 144(3), 1059-1072.
- Z. Liu, P. Magal and S. Ruan (2016), Oscillations in
age-structured models
of consumer-resource mutualisms, Discrete and Continuous Dynamical Systems -
Series B 21(2), 537-555.
- F. Chamchod, C. Cosner, R. S. Cantrell, J. C. Beier and S. Ruan (2016), Transmission dynamics of Rift Valley fever virus: Effects of live and killed vaccines on epizootic outbreaks and enzootic maintenance,
Frontiers in Microbiology
6: 1568. doi:10.3389/fmicb.2015.01568.
- Y. Yang, L. Zou and S. Ruan (2015), Global
dynamics of a delayed within-host viral
infection model with both virus-to-cell and cell-to-cell transmissions,
Mathematical Biosciences 270, 183-191.
- S. Liu, S. Ruan and X. Zhang (2015), On avian
influenza epidemic models with time delay,
Theory in Biosciences 134, 75-82.
- G. Zhao and S. Ruan (2015), The decay rates of traveling waves and spectral
analysis for a class of nonlocal evolution equations,
Mathematical Modelling of Natural Phenomena 10(6), 142-162.
- H.-B. Shi and S. Ruan (2015), Spatial, temporal, and spatiotemporal patterns of
diffusive predator-prey models with mutual interference,
IMA Journal of Applied Mathematics 80(5), 1534-1568.
- J. Chen, L. Zou, Z. Jin and S. Ruan (2015), Modeling the geographic spread of rabies in
China, PLoS Neglected Tropical Diseases 9(5): e0003772. doi:10.1371/journal.pntd.0003772
- Y. Yang, S. Ruan and D. Xiao (2015), Global stability of an age-structured virus
dynamics model with Beddington-DeAngelis infection function,
Mathematical Biosciences and Engineering 12, 859-877.
- X. Feng, S. Ruan, Z. Teng and K. Wang (2015),
Stability and backward
bifurcation in a malaria transmission model with applications to the control
of malaria in China, Mathematical Biosciences
266, 52-64.
- H.-B. Shi, S. Ruan, Y. Su and J.-F. Zhang (2015), Spatiotemporal dynamics of a diffusive
Leslie-Gower predator-prey model with ratio-dependent functional response,
International Journal of Bifurcation and Chaos 25, No. 5, 1530014.
- S. Liu, L. Pang, S. Ruan and X. Zhang (2015), Global
dynamics of avian influenza epidemic models with psychological effect,
Computational and Mathematical Methods in Medicine 2015, Article ID 913726, 12 pages.
http://dx.doi.org/10.1155/2015/913726
- S.-B. Hsu, S. Ruan and T.-H. Yang (2015), Analysis of three species
Lotka-Volterra food web models with omnivory,
Journal of Mathematical Analysis and Applications 426, 659-687.
- L. Zou, S. Ruan and W. Zhang (2015), On the sexual transmission dynamics of Hepatitis B virus in China,
Journal of Theoretical Biology
369, 1-12.
- L. Pang, S. Ruan, S. Liu, Z. Zhao and X. Zhang (2015),
Transmission dynamics and optimal control of measles
epidemics, Applied Mathematics and Computation 256, 131-147.
- S. Wu and S. Ruan (2015), Entire solutions for nonlocal dispersal equations
with spatio-temporal delay: Monostable case, Journal of
Differential Equations 258, 2435-2470.
- L. Zou and S. Ruan (2015), Schistosomiasis transmission and control in China,
Acta Tropica 143, 51-57.
- Y. Xiao, J. C. Beier, R. S. Cantrell, C. Cosner, D. DeAngelis, and S. Ruan (2015),
Modelling the effects of seasonality and socioeconomic impact on the transmission of Rift Valley Fever virus,
PLoS Neglected Tropical Diseases 9(1): e3388. doi:10.1371/journal.pntd.0003388.
- S. Wu, P. Weng and S. Ruan (2015), Spatial dynamics of a lattice population model
with two age classes and maturation delay, European Journal of Applied Mathematics
26, 61-91.
- J. Zhang, S. Ruan, G. Sun, X. Sun and Z. Jin (2014),
Analysis of a multi-patch
dynamical model about cattle brucellosis, Journal of Shanghai Normal
University (Natural Sciences - Mathematics) 43 (5), 441-455.
- D. Gao and S. Ruan (2014), Malaria models with spatial
effects, in ``Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases,''
D. Chen, B. Moulin, J. Wu (Eds), John Wiley & Sons., Chapter 6, pp. 109-136.
- G. Lin and S. Ruan (2014), Traveling wave solutions for delayed
reaction-diffusion systems
and applications to Lotka-Volterra competition-diffusion models with distributed delays,
Journal of Dynamics and Differential Equations 26, 583-605.
- D. Gao, Y. Lou and S. Ruan (2014), A periodic Ross-Macdonald
model in a patchy environment,
Discrete and Continuous Dynamical Systems - Series B 19(10), 3133-3145.
- F. Chamchod, R. S. Cantrell, C. Cosner, A. N. Hassan, J. C. Beier, and S. Ruan (2014),
A modeling approach to investigate epizootic outbreaks and enzootic
maintenance of Rift Valley Fever virus, Bulletin of Mathematical Biology 76, 2052-2072.
- J. Huang, S. Ruan and J. Song (2014), Bifurcations
in a predator-prey system of Leslie type
with generalized Holling type III functional response, Journal of
Differential Equations 257, 1721-1752.
- G. Zhao and S. Ruan (2014), Time periodic traveling wave
solutions for periodic advection-reaction-diffusion systems, Journal of
Differential Equations 257, 1078-1147.
- Z. Liu, P. Magal and S. Ruan (2014), Normal forms for
semilinear equations with non-dense domain with applications to age structured models, Journal of
Differential Equations 257, 921-1011.
- P. Bi, S. Ruan and X. Zhang (2014), Periodic and chaotic
oscillations in a tumor
and immune system interaction model with three delays, Chaos: An Interdisciplinary Journal of Nonlinear
Science 24, 023101. doi: 10.1063/1.4870363.
- P. Magal and S. Ruan (2014), Susceptible-infectious-recovered models revisited: From the
individual level to the population level, Mathematical Biosciences 250, 26-40.
- P. Bi and S. Ruan (2013), Bifurcations in delay differential
equations and applications to tumor and immune system interaction models,
SIAM Journal on Applied Dynamical Systems 12(4), 1847-1888.
- J. Chen, J. Huang, S. Ruan, and J. Wang (2013), Bifurcations
of invariant tori in predator-prey models with seasonal prey harvesting,
SIAM Journal on Applied Mathematics 73(5), 1876-1905.
- S.-B. Hsu, S. Ruan and T.-H. Yang (2013), On the dynamics
of two-consumers-one-resource
competing systems with Beddington-DeAngelis functional response, Discrete and and Continuous Dynamical
Systems Series B 18(9), 2331-2353.
- Z.-C. Wang, W.-T. Li and S. Ruan (2013), Entire solutions
in lattice delayed differential equations
with nonlocal interaction: Bistable case, Mathematical Modelling of Natural Phenomena
8(3), 78-103.
- D. Gao, C. Cosner, R. S. Cantrell, J. C. Beier and S. Ruan (2013),
Modeling the spatial spread of
Rift Valley Fever in Egypt, Bulletin of Mathematical Biology 75, 523-542.
- J. Huang, Y. Gong and S. Ruan (2013), Bifurcation analysis in a predator-prey model with constant-yield
predator harvesting, Discrete and and Continuous Dynamical Systems Series B 18, 2101-2121.
- L. Zhang, Z. Teng, D. L. DeAngelis and S. Ruan (2013),
Single species models with logistic growth and
dissymmetric impulse dispersal, Mathematical Biosciences 243, 288-197.
- A. Ducrot, P. Magal and S. Ruan (2013), Projectors
on the generalized eigenspaces for partial differential equations with time delay,
in ``Infinite
Dimensional Dynamical Systems'', J. Mallet-Paret, J. Wu, Y. Yi, and H. Zhu (eds.),
Fields Institute Communications 64, 353-390.
- Y. Wang, H. Wu and S. Ruan (2013), Global dynamics
and bifurcations in a four-dimensional replicator system, Discrete and Continuous Dynamical Systems
Series B 18, 259-271.
- Z. Liu, P. Magal and S. Ruan (2012), Center-unstable
manifolds for non-densely defined Cauchy problems and applications to stability of Hopf bifurcation,
Canadian Applied Mathematics Quarterly 20, 135-178.
- S. A. Gourley and S. Ruan (2012), A delay equation model
for oviposition habitat selection by mosquitoes, Journal of Mathematical Biology
65, 1125-1148.
- F. Chemchod and S. Ruan (2012), Modelling
Methicillin-resistant Staphylococcus aureus in hospitals:
Transmission dynamics, antibiotic usage and its history, Theoretical Biology and Medical Modelling
9, 25. doi:10.1186/1742-4682-9-25.
- D. Gao and S. Ruan (2012), A multi-patch malaria model with
demographic structure, SIAM Journal on Applied Mathematics 72(3): 819-841.
SIAM Nuggets: The Math of Malaria.
- J. Zhang, Z. Jin, G.-Q. Sun, X.-D. Sun and S. Ruan (2012), Spatial
spread of rabies in China, Journal of Applied Analysis and Computation 2, 111-126.
- Z. Hu, W. Ma and S. Ruan (2012), Analysis of an SIR epidemic
model with nonlinear incidence rate and treatment, Mathematical Biosciences 238, 12-20.
- J. Zhang, Z. Jin, G.-Q. Sun, X.-D. Sun and S. Ruan (2012), Modeling
seasonal rabies epidemics in China, Bulletin of Mathematical Biology 74, 1226-1251.
Erratum, 75 (2013), 206-211.
- E. M. C. D'Agata, M. A. Horn, S. Ruan, G. F. Webb, and J. R. Wares (2012),
Efficacy of infection control
interventions in reducing the spread of multidrug-resistant organisms in the
hospital setting, PLoS ONE
7(2), e30170. doi:10.1371/journal.pone.0030170.
- D. Liu, S. Ruan and D. Zhu (2012), Stable periodic
oscillations in a two-stage cancer
model of tumor and immune system interactions, Mathematical Biosciences and Engineering
9, 347-368.
- Q. Hou, Z. Jin and S. Ruan (2012), Dynamics of rabies
epidemics and the impact of control efforts in Guangdong Province, China, Journal of Theoretical
Biology 300, 39-47.
- F. Chamchod and S. Ruan (2012), Modeling the spread
of methicillin-resistant Staphylococcus aureus in nursing homes for elderly,
PLoS ONE 7(2), e29757. doi:10.1371/journal.pone.0029757.
Online Supporting Information.
- Y. Wang, H. Wu and S. Ruan (2012), Periodic orbits
near heteroclinic cycles in a cyclic replicator system, Journal of Mathematical Biology
64, 855-872.
- J. Wang, L. Wang, P. Magal, Y. Wang, J. Zhuo, X. Lu, and S. Ruan (2011),
Modelling the transmission dynamics of meticillin-resistant
Staphylococcus aureus in Beijing Tongren hospital, Journal of Hospital Infection
79, 302-308. Erratum.
- X. Li, S. Ruan and D. Xiao (2011), The within-host
dynamics of malaria infection with immune response, Mathematical Biosciences and Engineering
8, 999-1018.
- J. Zhang, Z. Jin, G.-Q. Sun, T. Zhou and S. Ruan (2011),
Analysis
of rabies in China: Transmission dynamics and control (corrected), PLoS ONE 6(7), e20891.
doi:10.1371/journal.pone.0020891. Online Supporting
Information (corrected).
- Y. Su, S. Ruan and J. Wei (2011), Periodicity and
synchronization in blood-stage malaria infection, Journal of Mathematical Biology
63, 557-574.
- D. Gao and S. Ruan (2011), An SIS patch model with
variable transmission coefficients, Mathematical
Biosciences 232, 110-115.
- X. Li and S. Ruan (2011), Attractors for non-autonomous parabolic problems with singular initial
data, Journal of Differential Equations 251, 728-757
- G. Zhao and S. Ruan (2011), Existence, uniqueness
and asymptotic stability of time periodic traveling
waves for a periodic Lotka-Volterra competition system with diffusion, Journal de
Mathématiques Pures et Appliquées 95, 627-671.
- G. Lin, W.T. Li and S. Ruan (2011), Monostable
wavefronts in cooperative Lotka-Volterra type
systems with nonlocal delays, Discrete and Continuous Dynamical Systems Series A
31, 1-23.
- B. J. Coburn, C. Cosner and S. Ruan (2011),
Emergence and dynamics of influenza super-strains,
BMC Public Health 11(Suppl 1): S6.
- Z. Liu, P. Magal and S. Ruan (2011),
Hopf bifurcation for non-densely defined Cauchy problems,
Zeitschrift fuer angewandte Mathematik und Physik
62, 191-222.
- G. Lin, W.T. Li and S. Ruan (2011), Spreading speeds
and traveling waves in competitive recursion systems, Journal of Mathematical Biology
62, 165-201.
- D. Liu, S. Ruan and D. Zhu (2011),
Nongeneric bifurcations near heterodimensional
cycles with inclination flip in R4,
Discrete and Continuous Dynamical Systems - Series S 4, 1511-1532.
- L. Zou, X. Chen, W. Zhang and S. Ruan (2011), Dynamics
of a model of allelopathy and bacteriocin with a single
mutation, Nonlinear Analysis: Real World Applications 12, 658-670.
- Z. Hu, P. Bi, W. Ma and S. Ruan (2011), Bifurcations
of an SIRS epidemic model with nonlinear
incidence rate, Discrete and Continuous Dynamical Systems Series B 15, 93-112.
- L. Zou, S. Ruan and W. Zhang (2010), An
age-structured model for the transmission dynamics of
Hepatitis B, SIAM Journal on Applied Mathematics 70, 3121-3139.
- Y. Qu, J. Wei and S. Ruan (2010), Stability
and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays,
Physica D: Nonlinear Phenomena 239, 2011-2014.
- A. Ducrot, P. Magal and S. Ruan (2010),
Une introduction aux modèles de dynamique de
populations structurées en âges et aux problèmes de bifurcations,
Gazette des Mathématiciens - Societe Mathematique de France,
125, 27-40 (in French).
- S. Ruan, Y. Tang and W. Zhang (2010),
Versal unfoldings of predator-prey systems with
ratio-dependent functional response,
Journal of Differential Equations 249, 1410-1435
- H. Sun, X. Lu and S. Ruan (2010),
Qualitative analysis of models with different
treatment protocols to prevent antibiotic resistance,
Mathematical Biosciences 227, 56-67.
- Z. Chen, L. Zou, D. Shen, W. Zhang and S. Ruan (2010),
Mathematical modelling and control of
Schistosomiasis in Hubei Province, China,
Acta Tropica 115, 119-125.
- P. Magal and S. Ruan (2010),
Sustained oscillations in an
evolutionary epidemiological model of influenza A drift,
Proceedings of Royal Society A: Mathematical, Physical and Engineering Sciences
466, 965-992.
- L. Zou, W. Zhang and S. Ruan (2010),
Modelling the transmission dynamics
and control of Hepatitis B virus in China,
Journal of Theoretical Biology 262, 330-338.
Erratum, 317 (2013), 425-427.
- A. Ducrot, P. Magal and S. Ruan (2010), Travelling
wave solutions in multi-group age-structured
epidemic models, Archive for Rational Mechanics and Analysis 195, 311-331.
- G.F. Webb, M.A. Horn; E.M.C. D'Agata, R.C. Moellering and S. Ruan (2010), Competition of
hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in
hospitals, Journal of Biological Dynamics 4, 115-129.
- G. Lin, W.T. Li and S. Ruan (2010), Asymptotic
stability of monostable wavefronts in discrete-time
integral recursions, Sciences in China - Series A: Mathematics 53, 1185-1194.
Chinese Edition 39(2009), 679-688.
- J. Xia, Z. Liu, R. Yuan and S. Ruan (2009), The effects
of harvesting and time delay on predator-prey
systems with Holling type II functional response, SIAM Journal on Applied Mathematics
70, 1178-1200.
- P. Magal and S. Ruan (2009),
On semilinear Cauchy problems with non-dense domain,
Advances in Differential Equations 14, No. 11-12, 1041-1084.
- S. Ruan and J. Wu (2009), Modeling Spatial Spread of Communicable Diseases
Involving Animal
Hosts, in ``Spatial Ecology'', Chapman & Hall/CRC, Boca Raton, FL, pp. 293-316.
- P. Magal and S. Ruan (2009), Center
Manifolds for Semilinear Equations with Non-dense Domain
and Applications to Hopf Bifurcation in Age Structured Models,
Memoirs of the American Mathematical Society, 202, No. 951.
- J. Chu, A. Ducrot, P.Magal, S. Ruan (2009), Hopf bifurcation in a size structured population
dynamic model with random growth, Journal of Differential Equations 247, 956-1000.
- C. Cosner, J. C. Beier, R.S.Cantrell, D. Impoinvil, L. Kapitanski, M. D. Potts, A.Troyo, and S.
Ruan (2009), The effects of human movement on the persistence of vector
borne diseases, Journal of
Theoretical Biology 258, 550-560.
- D. Liu, S. Ruan and D. Zhu (2009), Bifurcation analysis in models
of tumor and immune system
interactions, Discrete and Continuous Dynamical Systems - Series B 12, 151-168.
- S. Ruan (2009), On nonlinear dynamics of
predator-prey models with discrete delay,
Mathematical Modelling of Natural
Phenomena 4(2i), 140-188.
- E. M. C. D'Agata, G. F. Webb, M. A. Horn, R. C. Moellering Jr. and S. Ruan (2009),
Modeling the invasion of community-acquired methicillin-resistant
Staphylococcus aureusi into the hospital setting, Clinical Infectious Diseases
48, 274-284.
- Z.-C. Wang, W.-T. Li and S. Ruan (2009),
Entire
solutions in bistable reaction-diffusion
equations with nonlocal delayed nonlinearity,
Transactions of the American Mathematical Society 361, 2047-2084.
- E.M.C. D'Agata, M. Dupont-Rouzeyrol, P. Magal, D. Olivier and S. Ruan (2008), The impact of
different antibiotic regimens on the emergence of antimicrobial-resistant bacteria,
PLoS ONE
3(12), e4036. doi:10.1371/journal.pone.0004036
- Y. Tang, D. Huang, S. Ruan and W. Zhang (2008),
Coexistence of limit cycles and homoclinic loops
in an SIRS model with nonlinear incidence rate, SIAM Journal on Applied Mathematics
69, 621-639.
- A. Morozov, S. Ruan and B.-L. Li (2008),
Patterns of patchy spread in multi-species
reaction-diffusion models, Ecological Complexity 5, 313-328.
- D. L. DeAngelis, J. M. Koslow, J. Jiang and S. Ruan (2008),
Host mating system and the spread of a disease-resistant allele in a population,
Theoretical Population Biology 74, 191-198.
Supplementary data
- Z.-C. Wang, W.-T. Li and S. Ruan (2008),
Traveling fronts in
monostable equations with nonlocal delayed effects,
J. Dynamics and Differential Equations 20, 573-607.
- C. Magal, C. Cosner, S. Ruan and J. Casas (2008),
Control of invasive hosts by generalist parasitoids,
Mathematical Medicine and Biology 25, 1-20.
- S. Ruan, Y. Tang and W. Zhang (2008),
Computing the
heteroclinic bifurcation curves in predator-prey
systems with ratio-dependent functional response,
J. Mathematical Biology 57, 223-241.
- S. Ruan, D. Xiao and J. C. Beier (2008),
On the delayed Ross-Macdonald
model for malaria transmission,
Bulletin of Mathematical Biology 70, 1098-1114.
- Z. Liu, P. Magal and S. Ruan (2008),
Projectors on the
generalized eigenspaces for functional differential equations
using integrated semigroups,
J. Differential Equations 244, 1784-1809.
- W.-T. Li, S. Ruan and Z.-C. Wang (2007),
On the
diffusive Nicholson's blowflies equation with
nonlocal delays, J. Nonlinear Sciences
17, 505-525.
- S. Ruan, A. Ardito, P. Ricciardi and D. L. DeAngelis (2007),
Coexistence in competition
models with density dependent mortality, Comptes Rendus Biologies
330, 845-854.
- E. M. C. D'Agata, P. Magal, D. Olivier, S. Ruan and G. F. Webb (2007),
Modeling antibiotic resistance
in hospitals: The impact of minimizing treatment duration,
J. Theoretical Biology 249, 487-499.
- D. Xiao and S. Ruan (2007),
Global analysis of an epidemic
model with nonmonotone incidence rate,
Mathematical Biosciences 208, 419-429.
- K. P. Hadeler and S. Ruan (2007),
Interaction
of diffusion and delay, Discrete and Continuous
Dynamical Systems - Series B 8(1), 95-105.
- Z.-C. Wang, W.-T. Li and S. Ruan (2007),
Existence and stability of traveling wave fronts in
reaction advection diffusion equations with nonlocal delay,
J. Differential Equations 238, 153-200.
- P. Magal and S. Ruan (2007), On integrated
semigroups and age structured models in Lp spaces,
Differential Integral Equations 20(2), 197-239.
- S. Ruan (2007), Spatial-Temporal Dynamics in Nonlocal
Epidemiological Models, in ``Mathematics for Life Science and Medicine'',
Y. Takeuchi, K. Sato and Y. Iwasa (eds.), Springer-Verlag,
Berlin, pp. 97-122 .
- M. Adimy, F. Crauste and S. Ruan (2006),
Modelling hematopoiesis
mediated by growth factors with applications
to periodic hematological diseases,
Bulletin of Mathematical Biology 68, 2321-2351.
- S. Ruan (2006), Delay
Differential Equations in Single Species Dynamics,
in "Delay Differential Equations with Applications", ed. by O. Arino,
M. Hbid and E. Ait Dads, NATO Science Series II: Mathematics, Physics
and Chemistry, Vol. 205, Springer, Berlin, pp. 477-517.
- M. Adimy, F. Crauste and S. Ruan (2006),
Periodic oscillations in
leukopoiesis models with two delays,
J. Theoretical Biology 242, 288-299.
- W.-T. Li, G. Lin and S. Ruan (2006),
Existence
of traveling wave solutions in delayed reaction-diffusion
systems with applications to diffusion-competition systems,
Nonlinearity 19, 1253-1273.
- E. D'Agata, P. Magal, S. Ruan and G. F. Webb (2006),
Asymptotic behavior in nosocomial epidemic
models with antibiotic resistance,
Differential and Integral Equations 19, 573-600.
- Z.-C. Wang, W.-T. Li and S. Ruan (2006),
Travelling wave fronts in reaction-diffusion systems with
spatio-temporal delays, J. Differential Equations
222(1), 185-232.
- S. Ruan and W. Zhang (2005), Exponential dichotomies, the
Fredholm alternative, and transverse homoclinic orbits in partial
functional differential equations, J. Dynamics and Differential Equations
17(4), 759-777.
- G. F. Webb, E. M. C. D'Agata, P. Magal and S. Ruan (2005),
A model of antibiotic resistant bacterial epidemics in hospitals,
Proceedings of the National Academics of Sciences of the USA,
102(37), 13343-13348.
Supporting Text
- M. Adimy, F. Crauste and S. Ruan (2005),
A
mathematical study of the hematopoiesis process
with applications to Chronic Myelogenous Leukemia,
SIAM J. Applied Mathematics 65, 1328-1352.
- G. Fu, W. Ma and S. Ruan (2005),
Qualitative analysis
of a chemostat model with inhibitory exponential substrate
uptake, Chaos, Solitons & Fractals 23, 873-886.
- M. Adimy, F. Crauste and S. Ruan (2005),
Stability
and Hopf bifurcation in a mathematical model
of pluripotent stem cell dynamics, Nonlinear Analysis: Series B -
Real World Applications 6, 651-670.
- J. Huang, G. Lu and S. Ruan (2005),
Traveling wave solutions in delayed
lattice differential equations with partial monotonicity, Nonlinear
Analysis: Series A - Theory and Methods
60, 1331-1350.
- P. Katri and S. Ruan (2004),
Dynamics
of human T-cell Lymphotropic Virus I (HTLV-I)
infection of CD4+ T-cells, Comptes Rendus Biologies
327, 1009-1016.
- A. B. Gumel, S. Ruan, T. Day, J. Watmough, F. Brauer,
P. van den Driessche, D. Gabrielson, C. Bowman, M. E.
Alexander, S. Ardal, J. Wu, and B. M. Sahai (2004),
Modeling
strategies for controlling SARS outbreaks, Proceedings of the Royal
Society of London: Biological Sciences
271, Number 1554, 2223 - 2232.
Electronic Appendix
- S. Ruan and D. Xiao (2004),
Stability of steady states and existence of traveling waves in a vector
disease model, Proceedings of the Royal Society of Edinburgh:
Sect. A - Mathematics 134, 991-1011.
- S. Ruan and R. S. Filfil (2004),
Dynamics of a two-neuron system with
discrete and distributed delays,
Physica D: Nonlinear Phenomena
191, 323-342.
- W. Wang and S. Ruan (2004), Simulating the SARS outbreak in Beijing with
limited data, J. Theoretical Biology 227, 369-379.
- R. V. Culshaw, S. Ruan and R. J. Spiteri (2004),
Optimal HIV treatment by
maximising immune response, J. Mathematical Biology 48, 545-562
- R. S. Cantrell, C. Cosner and S. Ruan (2004), Intraspecific interference
and consumer-resource dynamics, Discrete and Continuous Dynamical
Systems - 4B, 527-546.
- W. Wang and S. Ruan (2004), Bifurcations in an epidemic model with
constant removal rate of the infectives, J. Mathematical Analysis
and Applications 291, 775-793.
- S. Gourley and S. Ruan (2003), Convergence and travelling fronts in
functional differential equations with nonlocal terms: A competition model,
SIAM J. Math. Anal. 35, 806-822.
- S. Ruan and J. Wei (2003), On the zeros of transcendental functions with
applications to stability of delay differential equations with two delays,
Dynamics of Continuous, Discrete and Impulsive Systems 10,
863-874 .
- S. Gourley and S. Ruan (2003), Spatio-temporal delays in plankton models:
local stability and bifurcations, Applied Mathematics and Computation
145, 391-412.
- R. Culshaw, S. Ruan and G. F. Webb (2003), A mathematical model of
cell-to-cell spread of HIV that includes a time delay,
J. Mathematical Biology 46, 425-444.
- S. Ruan, J. Wei and J. Wu (2003), Bifurcation from a homoclinic orbit
in partial functional differential equations, Discrete and Continuous
Dynamical Systems - 9A, 1293-1322.
- J. Huang, G. Lu and S. Ruan (2003), Existence of traveling wave
solutions for a diffusive predator-prey model, J. Mathematical Biology
46, 132-152.
- S. Ruan and W. Wang (2003), Dynamical behavior of an epidemic model
with a nonlinear incidence rate, J. Differential Equations
188, 135-163.
- J. Wei and S. Ruan (2002), Stability and global Hopf bifurcation for
neutral differential equations, Acta Mathematica Sinica 45,
93-104 (in Chinese).
- D. Xiao and S. Ruan (2001), Multiple bifurcations in a delayed
predator-prey system with nonmonotonic functional response,
J. Differential Equations 176, 494-510.
- S. Ruan (2001), Absolute
stability, conditional stability and
bifurcation in Kolmogorov-type predator-prey systems with discrete delays,
Quart. Appl. Math. 59, 159-173.
- D. Xiao and S. Ruan (2001), Global dynamics of a ratio-dependent
predator-prey system, J. Mathematical Biology 43, 268-290.
- A. Martin and S. Ruan (2001), Predator-prey models with delay and
prey harvesting, J. Mathematical Biology 43, 247-267.
- D. Xiao and S. Ruan (2001),
Codimension two bifurcations in a
predator-prey
system with group defense, International J. Bifurcations and Chaos
11, 2123-2131.
- K. Boushaba and S. Ruan (2001), Instability in diffusive
ecological models with nonlocal delay effects, J. Mathematical
Analysis and Applications 258, 269-286.
- S. Ruan and J. Wei (2001), On the zeros of a third degree
exponential polynomial with applications to a delayed model for the control of
testosterone secretion, IMA J. Mathematics Applied in Medicine and Biology
18, 41-52.
- S. Ruan (2001), Oscillations in plankton models with nutrient
recycling, J. Theoretical Biology 208, 15-26.
- S. Ruan and D. Xiao (2001), Global analysis in a
predator-prey system with nonmonotonic functional response,
SIAM J. Applied Mathematics 61, 1445-1472.
- S. A. Gourley and S. Ruan (2000), Dynamics of the diffusive
Nicholson's blowflies equation with distributed delays,
Proc. Royal Soc. Edinburgh Sect. A 130, 1275-1291.
- R. V. Culshaw and S. Ruan (2000), A delay-differential equation
model of HIV infection of CD4+ T-cells, Mathematical Biosciences
165, 27-39.
- S. Ruan and J. Clements (2000), Existence and uniqueness of
solutions of retarded quasilinear wave equations,
Fields Institute Communications 25, 473-483.
- J. Wei and S. Ruan (1999), Absolute stability in delay differential
equations, in ``Dynamical Systems,'' ed. by Y. Jiang and L. Wen,
World Scientific Pub., Singapore, pp. 275-280.
- S. Ruan and J. Wei (1999), Periodic solutions of planar systems with
two delays, Proc. Royal Soc. Edinburgh Ser. A 129, 1017-1032.
- S. A. Campbell, S. Ruan and J. Wei (1999),
Qualitative analysis of a
neural network model with multiple delays, International J. Bifurcations
and Chaos 9, 1585-1595.
- S. Ruan and X.-Q. Zhao (1999), Persistence and extinction in two
species reaction-diffusion Lotka-Volterra systems with delays,
J. Differential Equations 156, 71-92.
- D. Xiao and S. Ruan (1999), Bogdanov-Takens bifurcations in harvested
predator-prey systems, Fields Institute Communications 21,
493-506.
- X. Li, S. Ruan and J. Wei (1999), Stability and bifurcation in
delay-differential equations with two delays, J. Math. Anal. Appl.
236, 254-280.
- J. Wei and S. Ruan (1999), Stability and bifurcation in a neural
network model with two delays, Physica D: Nonlinear Phenomena
130, 255-272.
- X. He and S. Ruan (1998), Global stability in chemostat-type
plankton models with delayed nutrient recycling, J. Math. Biol.
37, 253-271.
- S. Ruan (1998), Turing instability and travelling waves in
diffusive plankton models with delayed nutrient recycling,
IMA J. Appl. Math. 61, 15-32.
- S. Ruan, J. Wei and D. Xiao (1998), Hopf bifurcation in a
reaction-diffusion predator-prey model with group defence, in ``Advanced
Topics in Biomathematics,'' ed. by L. Chen, S. Ruan and J. Zhu,
World Scientific Pub., Singapore, pp. 219-227.
- X. He, S. Ruan and H. Xia (1998), Global stability in chemostat-type
equations with distributed delays, SIAM J. Math. Anal.
29, 681-696.
- S. Ruan (1998), Diffusion-driven instability in the
Giere-Meinhardt model of morphogenesis, Natural Resource Modelling
11, 131-142.
- S. Ruan and X. He (1998), Global stability in chemostat-type
competition models with nutrient recycling, SIAM J. Appl. Math.
58, 170-192. Erratum
- S. Ruan (1998), Stability in diffusive plankton models with
delayed nutrient recycling, in ``Differential Equations and Dynamical
Systems,'' Vol. II, ed. by W. Chen and S. Hu, Southwest Missouri State
Univ., Springfield, pp. 174-181.
- S. Ruan (1997),The dynamics of chemostat models, J. Central China
Normal University 31, 377-397.
- G. S. K. Wolkowicz, H. Xia and S. Ruan (1997), Competition in the chemostat:
A distributed delay model and its global asymptotic behavior, SIAM J.
Appl. Math. 57, 1281-1310.
- S. Ruan and G. Wolkowicz (1996), Bifurcation analysis of a chemostat model
with a distributed delay, J. Math. Anal. Appl. 204, 786-812.
- Z. Deng and S. Ruan (1996), On second order linear
differential systems, in ``Differential Equations and Control Theory,''
ed. by Z. Deng et al., Marcer Dekker, New York, pp. 21-33.
- F. Yang and S. Ruan (1996), A generalization of the
Butler-McGehee lemma and its applications in persistence theory, Differential and Integral
Equations 9, 1321-1330.
- S. Ruan and G. Wolkowicz (1995), Uniform persistence in plankton models
with delayed nutrient recycling, Canad. Appl. Math. Quart. 3, 219-235.
- J. Haddock, S. Ruan, J. Wu and H. Xia (1995), Comparison theorems of
Liapunov-Razumikhin type for NFDEs with infinite delay, Canad. J. Math.
47 (3), 500-526.
- S. Ruan (1995), The effect
of delays on stability and persistence in
plankton models, Nonlinear Analysis 24, 575-585.
- S. Ruan (1995), Uniform persistence in reaction-diffusion plankton
models,
Rocky Mountain J. Math. 25, 459-470.
- H. I. Freedman and S. Ruan (1995), Uniform persistence in functional
differential equations, J. Differential Equations 115, 173-192.
- S. Ruan and J. Wu (1994), Reaction-diffusion equations with infinite
delay, Canad. Appl. Math. Quart. 2, 485-550.
- H. I. Freedman, S. Ruan and M. Tang (1994),
Uniform persistence and
flows near a closed positively invariant set, J. Dynamics and
Differential Equations 6, 583-600.
- H. I. Freedman and S. Ruan (1994), On reaction-diffusion systems of
zooplankton-phytoplankton-nutrient models, Differential Equations and
Dynamical Systems 2, 49-64.
- S. Ruan (1993), A three-trophic-level model of plankton dynamics
with nutrient recycling, Canad. Appl. Math. Quart. 1, 529-553.
- S. Ruan (1993), Oscillations of second order neutral differential
equations, Bull. Canad. Math. Soc. 36, 485-496.
- S. Ruan (1993), Persistence and coexistence in
zooplankton-phytoplankton-nutrient models with instantaneous nutrient
recycling, J. Math. Biol. 31, 633-654.
- L. H. Erbe, Q. Kong and S. Ruan (1993),
Kamenev type theorems for the
second order matrix differential systems, Proc. Amer. Math. Soc.
117, 957-962.
- B. S. Lalli, S. Ruan and B. G. Zhang (1992), Oscillation theorems for
nth-order neutral functional differential equations,
Ann. Differential Equations. 8, 401-413.
- S. Ruan (1992), Asymptotical stability for Volterra
integrodifferential
systems, Appl. Math. Comput. 52, 207-222.
- H. I. Freedman and S. Ruan (1992),
Hopf bifurcation in the
three-species
food chain models with group defence, Math. Biosci. 111, 73-87.
- X. Liao and S. Ruan (1992), Stability of large scale neutral
functional
differential systems, J. Central China Normal Univ. 26, 5-12.
- S. Ruan and H. I. Freedman (1991),
Persistence in the three-species
food chain models with group defence, Math. Biosci. 107,
111-125.
- Z. Deng and S. Ruan (1991),
Oscillation with respect to partial
variables
for linear second order differential systems, Proc. Amer. Math. Soc.
113, 777-783.
- S. Ruan (1991), Connective stability of discontinuous large scale
systems,
J. Math. Anal. Appl. 160, 480-484.
- S. Ruan (1991), Oscillations for first order neutral differential
equation with variable coefficients, Bull. Austral. Math. Soc. 43
, 147-152.
- S. Ruan (1991), Oscillations of nth-order functional differential
equations,
Computers Math. Appl. 21, No. 2-3, 95-102.
- S. Ruan and Z. Deng (1990), Oscillation criteria for second order
linear differential systems, J. Central China Normal University
24, 1-6.
- J. Wu and S. Ruan (1990), Asymptotic stability of large scale neutral
integrodifferential systems, Ann. Differential Equations
6, 217-224.
- S. Ruan (1990), Successive overrelaxation iteration for stability of
large scale systems, J. Math. Anal. Appl. 146, 389-396.
- Z. Deng and S. Ruan (1989), Boundedness of solutions of nth order
nonlinear
functional integrodifferential equations, J. Central China Normal Univ.
23, 135-140.
- S. Ruan (1989), Stability of neutral integrodifferential equations,
J. Central China Normal Univ. 23, 67-74.
- S. Ruan (1989), On global existence of the solutions of retarded
Filippov systems, J. Math. 9, 431-438.
- S. Ruan (1989), Stability analysis of large scale systems described
by functional differential equations, J. Central China Normal Univ.
23, 57-66.
- S. Ruan (1989), Strong practical stability of retarded Filippov
systems, Northeastern Math. J. 5, 6-10.
- S. Ruan and J. Wu (1989), Stability of large scale systems of Lurie
type described by functional differential equations, J. Central China
Normal Univ. 23, 10-14.
- S. Ruan (1989), Stability of Volterra integrodifferential systems,
J. Math. Anal. Appl. 137, 471-476.
- Z. Deng and S. Ruan (1988), Oscillation with respect to partial
variables
of second order differential systems, J. Central China Normal Univ.
22, 267-270.
- S. Ruan (1988), The stability of the large scale linear delay
systems, Math. Appl. 1, 107-110.
- Z. Deng and S. Ruan (1988), A survey of Gronwall-Bellman
integral inequalities, in ``Ordinary Differential Equations and Control
Theory,'' ed. by Z. Deng et al., Huazhong Normal Univ. Press, Wuhan,
pp. 1-31.
- S. Ruan (1988), Connective stability for large scale systems
described by functional differential equations, IEEE Trans. Autom. Control
33, 198-200.
- S. Ruan (1986), On the existence of limit cycles of nonlinear
differential
equations, J. Central China Normal Univ. 20, 131-134.
- S. Ruan (1984), Stability of a class of nonlinear differential
equations
with variable coefficients, J. Wuhan Inst. Tech. No. 4,
91-99.
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