PUBLICATIONS

PAPERS IN REFEREED JOURNALS AND PROCEEDINGS
  1. F. Chamchod and S. Ruan, Modeling the spread of methicillin-resistant Staphylococcus aureus in nursing homes for elderly, PLoS ONE (accepted).
  2. D. Liu, S. Ruan and D. Zhu, Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions, Mathematical Biosciences and Engineering (accepted).
  3. S. A. Gourley and S. Ruan, A delay equation model for oviposition habitat selection by mosquitoes, Journal of Mathematical Biology (acepted).
  4. 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 Vol. 79, 302-308.
  5. Y. Wang, H. Wu and S. Ruan, Periodic orbits near heteroclinic cycles in a cyclic replicator system, Journal of Mathematical Biology (in press) DOI: 10.1007/s00285-011-0435-3.
  6. A. Ducrot, P. Magal and S. Ruan, Projectors on the generalized eigenspaces for partial differential equations with time delay, Fields Institute Communications (accepted)
  7. X. Li, S. Ruan and D. Xiao (2011), The within-host dynamics of malaria infection with immune response, Mathematical Biosciences and Engineering Vol. 8, 999-1018.
  8. 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 Vol. 6(7): e20891. doi:10.1371/journal.pone.0020891. Online Supporting Information (corrected).
  9. Y. Su, S. Ruan and J. Wei (2011), Periodicity and synchronization in blood-stage malaria infection, Journal of Mathematical Biology Vol. 63, 557-574.
  10. D. Gao and S. Ruan (2011), An SIS patch model with variable transmission coefficients, Mathematical Biosciences Vol. 232, 110-115.
  11. X. Li and S. Ruan (2011), Attractors for non-autonomous parabolic problems with singular initial data, Journal of Differential Equations Vol. 251, 728-757
  12. 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 Vol. 95, 627-671.
  13. 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 Vol. 31, 1-23.
  14. B. J. Coburn, C. Cosner and S. Ruan (2011), Interacting species dynamics can cause a super-strain of influenza, BMC Public Health Vol. 11(Suppl 1):S6.
  15. Z. Liu, P. Magal and S. Ruan (2011), Hopf bifurcation for non-densely defined Cauchy problems, Zeitschrift f\xfcr angewandte Mathematik und Physik Vol. 62, 191-222.
  16. G. Lin, W.T. Li and S. Ruan (2011), Spreading speeds and traveling waves in competitive recursion systems, Journal of Mathematical Biology Vol. 62, 165-201.
  17. 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 Vol. 4, 1511-1532.
  18. 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 Vol. 12, 658-670.
  19. 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 Vol. 18, 93-112.
  20. L. Zou, S. Ruan and W. Zhang (2010), An age-structured model for the transmission dynamics of Hepatitis B, SIAM Journal on Applied Mathematics Vol. 70, 3121-3139.
  21. Y. Qu, J. Wei and S. Ruan (2010), Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays, Physica D: Nonlinear Phenomena Vol. 239, 2011-2014.
  22. 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, Vol. 125, 27-40 (in French).
  23. S. Ruan, Y. Tang and W. Zhang (2010), Versal unfoldings of predator-prey systems with ratio-dependent functional response, Journal of Differential Equations Vol. 249, 1410-1435
  24. H. Sun, X. Lu and S. Ruan (2010), Qualitative analysis of models with different treatment protocols to prevent antibiotic resistance, Mathematical Biosciences Vol. 227, 56-67.
  25. Z. Chen, L. Zou, D. Shen, W. Zhang and S. Ruan (2010), Mathematical modelling and control of Schistosomiasis in Hubei Province, China, Acta Tropica Vol. 115, 119-125.
  26. 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 Vol. 466, 965-992.
  27. L. Zou, W. Zhang and S. Ruan (2010), Modelling the transmission dynamics and control of Hepatitis B virus in China, Journal of Theoretical Biology Vol. 262, 330-338.
  28. A. Ducrot, P. Magal and S. Ruan (2010), Travelling wave solutions in multi-group age-structured epidemic models, Archive for Rational Mechanics and Analysis Vol. 195, 311-331.
  29. 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 Vol. 4, 115-129.
  30. G. Lin, W.T. Li and S. Ruan, Asymptotic stability of monostable wavefronts in discrete-time integral recursions, Sciences in China - Series A: Mathematics Vol. 53(2010), 1185-1194. Chinese Edition Vol. 39(2009), 679-688.
  31. 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 Vol. 70, 1178-1200.
  32. P. Magal and S. Ruan (2009), On semilinear Cauchy problems with non-dense domain, Advances in Differential Equations Vol. 14, No. 11-12, 1041-1084.
  33. 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.
  34. 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, Vol. 202, No. 951.
  35. 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 Vol. 247, 956-1000.
  36. 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 Vol. 258, 550-560.
  37. 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 Vol. 12, 151-168.
  38. S. Ruan (2009), On nonlinear dynamics of predator-prey models with discrete delay, Mathematical Modelling of Natural Phenomena Vol. 4, No. 2, 140-188.
  39. 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 Vol. 48, 274-284.
  40. 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 Vol. 361, 2047-2084.
  41. 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 Vol. 3(12): e4036. doi:10.1371/journal.pone.0004036
  42. 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 Vol. 69, 621-639.
  43. A. Morozov, S. Ruan and B.-L. Li (2008), Patterns of patchy spread in multi-species reaction-diffusion models, Ecological Complexity Vol. 5, 313-328.
  44. 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 Populatin Biology Vol. 74, 191-198. Supplementary data
  45. Z.-C. Wang, W.-T. Li and S. Ruan (2008), Traveling fronts in monostable equations with nonlocal delayed effects, J. Dynamics and Differential Equations Vol. 20, 573-607.
  46. C. Magal, C. Cosner, S. Ruan and J. Casas (2008), Control of invasive hosts by generalist parasitoids, Mathematical Medicine and Biology Vol. 25, 1-20.
  47. 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 Vol. 57, 223-241.
  48. S. Ruan, D. Xiao and J. C. Beier (2008), On the delayed Ross-Macdonald model for malaria transmission, Bulletin of Mathematical Biology Vol. 70, 1098-1114.
  49. Z. Liu, P. Magal and S. Ruan (2008), Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups, J. Differential Equations Vol. 244, 1784-1809.
  50. W.-T. Li, S. Ruan and Z.-C. Wang (2007), On the diffusive Nicholson's blowflies equation with nonlocal delays, J. Nonlinear Sciences Vol. 17, 505-525.
  51. S. Ruan, A. Ardito, P. Ricciardi and D. L. DeAngelis (2007), Coexistence in competition models with density dependent mortality, Comptes Rendus Biologies Vol. 330, 845-854.
  52. 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 Vol. 249, 487-499.
  53. D. Xiao and S. Ruan (2007), Global analysis of an epidemic model with nonmonotone incidence rate, Mathematical Biosciences Vol. 208, 419-429.
  54. K. P. Hadeler and S. Ruan (2007), Interaction of diffusion and delay, Discrete and Continuous Dynamical Systems - Series B Vol. 8, No. 1, 95-105.
  55. 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 Vol. 238, 153-200.
  56. P. Magal and S. Ruan (2007), On integrated semigroups and age structured models in Lp spaces, Differential Integral Equations Vol. 20, No. 2, 197-239.
  57. S. Ruan (2007), Spatial-Temporal Dynamics in Nonlocal Epidemiological Models, in ``Mathematics for Life Science and Medicine'', Eds. by Y. Takeuchi, K. Sato and Y. Iwasa, Springer-Verlag, Berlin, pp. 99-122 .
  58. M. Adimy, F. Crauste and S. Ruan (2006), Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases, Bulletin of Mathematical Biology Vol. 68, 2321-2351.
  59. 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.
  60. M. Adimy, F. Crauste and S. Ruan (2006), Periodic oscillations in leukopoiesis models with two delays, J. Theoretical Biology Vol. 242, 288-299.
  61. 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 Vol. 19, 1253-1273.
  62. 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 Vol. 19, 573-600.
  63. Z.-C. Wang, W.-T. Li and S. Ruan (2006), Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays, J. Differential Equations Vol. 222, No. 1, 185-232.
  64. 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 Vol. 17, No. 4, 759-777.
  65. 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, Vol. 102, No. 37, 13343-13348. Supporting Text
  66. 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.
  67. 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.
  68. 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.
  69. 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.
  70. 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.
  71. 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
  72. 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.
  73. 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.
  74. W. Wang and S. Ruan (2004), Simulating the SARS outbreak in Beijing with limited data, J. Theoretical Biology 227, 369-379.
  75. R. V. Culshaw, S. Ruan and R. J. Spiteri (2004), Optimal HIV treatment by maximising immune response, J. Mathematical Biology 48, 545-562
  76. R. S. Cantrell, C. Cosner and S. Ruan (2004), Intraspecific interference and consumer-resource dynamics, Discrete and Continuous Dynamical Systems - 4B, 527-546.
  77. 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.
  78. 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.
  79. 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 .
  80. S. Gourley and S. Ruan (2003), Spatio-temporal delays in plankton models: local stability and bifurcations, Applied Mathematics and Computation 35, 806-822.
  81. 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.
  82. 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.
  83. 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.
  84. S. Ruan and W. Wang (2003), Dynamical behavior of an epidemic model with a nonlinear incidence rate, J. Differential Equations 188, 135-163.
  85. J. Wei and S. Ruan (2002), Stability and global Hopf bifurcation for neutral differential equations, Acta Mathematica Sinica 45, 93-104 (in Chinese).
  86. D. Xiao and S. Ruan (2001), Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response, J. Differential Equations 176, 494-510.
  87. S. Ruan (2001), Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays, Quart. Appl. Math. 59, 159-173.
  88. D. Xiao and S. Ruan (2001), Global dynamics of a ratio-dependent predator-prey system, J. Mathematical Biology 43, 268-290.
  89. A. Martin and S. Ruan (2001), Predator-prey models with delay and prey harvesting, J. Mathematical Biology 43, 247-267.
  90. 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.
  91. K. Boushaba and S. Ruan (2001), Instability in diffusive ecological models with nonlocal delay effects, J. Mathematical Analysis and Applications 258, 269-286.
  92. 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.
  93. S. Ruan (2001), Oscillations in plankton models with nutrient recycling, J. Theoretical Biology 208, 15-26.
  94. S. Ruan and D. Xiao (2001), Global analysis in a predator-prey system with nonmonotonic functional response, SIAM J. Applied Mathematics 61, 1445-1472.
  95. 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.
  96. R. V. Culshaw and S. Ruan (2000), A delay-differential equation model of HIV infection of CD4+ T-cells, Mathematical Biosciences 165, 27-39.
  97. S. Ruan and J. Clements (2000), Existence and uniqueness of solutions of retarded quasilinear wave equations, Fields Institute Communications 25, 473-483.
  98. 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.
  99. S. Ruan and J. Wei (1999), Periodic solutions of planar systems with two delays, Proc. Royal Soc. Edinburgh Ser. A 129, 1017-1032.
  100. 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.
  101. 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.
  102. D. Xiao and S. Ruan (1999), Bogdanov-Takens bifurcations in harvested predator-prey systems, Fields Institute Communications 21, 493-506.
  103. 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.
  104. J. Wei and S. Ruan (1999), Stability and bifurcation in a neural network model with two delays, Physica D: Nonlinear Phenomena 130, 255-272.
  105. X. He and S. Ruan (1998), Global stability in chemostat-type plankton models with delayed nutrient recycling, J. Math. Biol. 37, 253-271.
  106. S. Ruan (1998), Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling, IMA J. Appl. Math. 61, 15-32.
  107. 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.
  108. X. He, S. Ruan and H. Xia (1998), Global stability in chemostat-type equations with distributed delays, SIAM J. Math. Anal. 29, 681-696.
  109. S. Ruan (1998), Diffusion-driven instability in the Giere-Meinhardt model of morphogenesis, Natural Resource Modelling 11, 131-142.
  110. S. Ruan and X. He (1998), Global stability in chemostat-type competition models with nutrient recycling, SIAM J. Appl. Math. 58, 170-192. Erratum
  111. 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.
  112. S. Ruan (1997),The dynamics of chemostat models, J. Central China Normal University 31, 377-397.
  113. 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.
  114. S. Ruan and G. Wolkowicz (1996), Bifurcation analysis of a chemostat model with a distributed delay, J. Math. Anal. Appl. 204, 786-812.
  115. 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.
  116. 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.
  117. S. Ruan and G. Wolkowicz (1995), Uniform persistence in plankton models with delayed nutrient recycling, Canad. Appl. Math. Quart. 3, 219-235.
  118. 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.
  119. S. Ruan (1995), The effect of delays on stability and persistence in plankton models, Nonlinear Analysis 24, 575-585.
  120. S. Ruan (1995), Uniform persistence in reaction-diffusion plankton models, Rocky Mountain J. Math. 25, 459-470.
  121. H. I. Freedman and S. Ruan (1995), Uniform persistence in functional differential equations, J. Differential Equations 115, 173-192.
  122. S. Ruan and J. Wu (1994), Reaction-diffusion equations with infinite delay, Canad. Appl. Math. Quart. 2, 485-550.
  123. 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.
  124. H. I. Freedman and S. Ruan (1994), On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models, Differential Equations and Dynamical Systems 2, 49-64.
  125. S. Ruan (1993), A three-trophic-level model of plankton dynamics with nutrient recycling, Canad. Appl. Math. Quart. 1, 529-553.
  126. S. Ruan (1993), Oscillations of second order neutral differential equations, Bull. Canad. Math. Soc. 36, 485-496.
  127. S. Ruan (1993), Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling, J. Math. Biol. 31, 633-654.
  128. 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.
  129. 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.
  130. S. Ruan (1992), Asymptotical stability for Volterra integrodifferential systems, Appl. Math. Comput. 52, 207-222.
  131. H. I. Freedman and S. Ruan (1992), Hopf bifurcation in the three-species food chain models with group defence, Math. Biosci. 111, 73-87.
  132. X. Liao and S. Ruan (1992), Stability of large scale neutral functional differential systems, J. Central China Normal Univ. 26, 5-12.
  133. S. Ruan and H. I. Freedman (1991), Persistence in the three-species food chain models with group defence, Math. Biosci. 107, 111-125.
  134. 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.
  135. S. Ruan (1991), Connective stability of discontinuous large scale systems, J. Math. Anal. Appl. 160, 480-484.
  136. S. Ruan (1991), Oscillations for first order neutral differential equation with variable coefficients, Bull. Austral. Math. Soc. 43 , 147-152.
  137. S. Ruan (1991), Oscillations of nth-order functional differential equations, Computers Math. Appl. 21, No. 2-3, 95-102.
  138. S. Ruan and Z. Deng (1990), Oscillation criteria for second order linear differential systems, J. Central China Normal University 24, 1-6.
  139. J. Wu and S. Ruan (1990), Asymptotic stability of large scale neutral integrodifferential systems, Ann. Differential Equations 6, 217-224.
  140. S. Ruan (1990), Successive overrelaxation iteration for stability of large scale systems, J. Math. Anal. Appl. 146, 389-396.
  141. Z. Deng and S. Ruan (1989), Boundedness of solutions of nth order nonlinear functional integrodifferential equations, J. Central China Normal Univ. 23, 135-140.
  142. S. Ruan (1989), Stability of neutral integrodifferential equations, J. Central China Normal Univ. 23, 67-74.
  143. S. Ruan (1989), On global existence of the solutions of retarded Filippov systems, J. Math. 9, 431-438.
  144. S. Ruan (1989), Stability analysis of large scale systems described by functional differential equations, J. Central China Normal Univ. 23, 57-66.
  145. S. Ruan (1989), Strong practical stability of retarded Filippov systems, Northeastern Math. J. 5, 6-10.
  146. 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.
  147. S. Ruan (1989), Stability of Volterra integrodifferential systems, J. Math. Anal. Appl. 137, 471-476.
  148. 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.
  149. S. Ruan (1988), The stability of the large scale linear delay systems, Math. Appl. 1, 107-110.
  150. 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.
  151. S. Ruan (1988), Connective stability for large scale systems described by functional differential equations, IEEE Trans. Autom. Control 33, 198-200.
  152. S. Ruan (1986), On the existence of limit circles of nonlinear differential equations, J. Central China Normal Univ. 20, 131-134.
  153. 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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