PUBLICATIONS

PAPERS IN REFEREED JOURNALS AND PROCEEDINGS
  1. S. Ruan and J. Wei, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays, Dynamics of Continuous, Discrete and Impulsive Systems (accepted).
  2. R. Culshaw, S. Ruan and G. F. Webb, A mathematical model of cell-to-cell spread of HIV that includes a time delay, J. Mathematical Biology (accepted)
  3. S. Gourley and S. Ruan, Spatio-temporal delays in plankton models: local stability and bifurcations, Applied Mathematics and Computation (accepted)
  4. S. Ruan, J. Wei and J. Wu, Bifurcation from a homoclinic orbit in partial functional differential equations, Discrete and Continuous Dynamical Systems (accepted)
  5. 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.
  6. S. Ruan and W. Wang (2003), Dynamical behavior of an epidemic model with a nonlinear incidence rate, J. Differential Equations 188, 135-163.
  7. J. Wei and S. Ruan (2002), Stability and global Hopf bifurcation for neutral differential equations, Acta Mathematica Sinica 45, 93-104.
  8. D. Xiao and S. Ruan (2001), Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response, J. Differential Equations 176, 494-510.
  9. S. Ruan (2001), Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays, Quart. Appl. Math. 59, 159-173.
  10. D. Xiao and S. Ruan (2001), Global dynamics of a ratio-dependent predator-prey system, J. Mathematical Biology 43, 268-290.
  11. A. Martin and S. Ruan (2001), Predator-prey models with delay and prey harvesting, J. Mathematical Biology 43, 247-267.
  12. 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.
  13. K. Boushaba and S. Ruan (2001), Instability in diffusive ecological models with nonlocal delay effects, J. Mathematical Analysis and Applications 258, 269-286.
  14. 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.
  15. S. Ruan (2001), Oscillations in plankton models with nutrient recycling, J. Theoretical Biology 208, 15-26.
  16. S. Ruan and D. Xiao (2001), Global analysis in a predator-prey system with nonmonotonic functional response, SIAM J. Applied Mathematics 61, 1445-1472.
  17. 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.
  18. R. V. Culshaw and S. Ruan (2000), A delay-differential equation model of HIV infection of CD4+ T-cells, Mathematical Biosciences 165, 27-39.
  19. S. Ruan and J. Clements (2000), Existence and uniqueness of solutions of retarded quasilinear wave equations, Fields Institute Communications 25, 473-483.
  20. 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.
  21. S. Ruan and J. Wei (1999), Periodic solutions of planar systems with two delays, Proc. Royal Soc. Edinburgh Ser. A 129, 1017-1032.
  22. 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.
  23. 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.
  24. D. Xiao and S. Ruan (1999), Bogdanov-Takens bifurcations in harvested predator-prey systems, Fields Institute Communications, 21, 493-506.
  25. 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.
  26. J. Wei and S. Ruan (1999), Stability and bifurcation in a neural network model with two delays, Phisica D: Nonlinear Phenomena 130, 255-272.
  27. X. He and S. Ruan (1998), Global stability in chemostat-type plankton models with delayed nutrient recycling, J. Math. Biol., 37, 253-271.
  28. S. Ruan (1998), Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling, IMA J. Appl. Math., 61, 15-32.
  29. 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.
  30. X. He, S. Ruan and H. Xia (1998), Global stability in chemostat-type equations with distributed delays, SIAM J. Math. Anal., 29, 681-696.
  31. S. Ruan (1998), Diffusion-driven instability in the Giere-Meinhardt model of morphogenesis, Natural Resource Modelling, 11, 131-142.
  32. S. Ruan and X. He (1998), Global stability in chemostat-type competition models with nutrient recycling, SIAM J. Appl. Math., 58, 170-192.
  33. 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.
  34. S. Ruan (1997),The dynamics of chemostat models, J. Central China Normal University, 31, 377-397.
  35. 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.
  36. S. Ruan and G. Wolkowicz (1996), Bifurcation analysis of a chemostat model with a distributed delay, J. Math. Anal. Appl., 204, 786-812.
  37. 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.
  38. 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.
  39. S. Ruan and G. Wolkowicz (1995), Uniform persistence in plankton models with delayed nutrient recycling, Canad. Appl. Math. Quart., 3, 219-235.
  40. 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.
  41. S. Ruan (1995), The effect of delays on stability and persistence in plankton models, Nonlinear Analysis, 24, 575-585.
  42. S. Ruan (1995), Uniform persistence in reaction-diffusion plankton models, Rocky Mountain J. Math., 25, 459-470.
  43. H. I. Freedman and S. Ruan (1995), Uniform persistence in functional differential equations, J. Differential Equations, 115, 173-192.
  44. S. Ruan and J. Wu (1994), Reaction-diffusion equations with infinite delay, Canad. Appl. Math. Quart., 2, 485-550.
  45. 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.
  46. H. I. Freedman and S. Ruan (1994), On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models, Differential Equations and Dynamical Systems, 2, 49-64.
  47. S. Ruan (1993), A three-trophic-level model of plankton dynamics with nutrient recycling, Canad. Appl. Math. Quart., 1, 529-553.
  48. S. Ruan (1993), Oscillations of second order neutral differential equations, Bull. Canad. Math. Soc., 36, 485-496.
  49. S. Ruan (1993), Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling, J. Math. Biol., 31, 633-654.
  50. 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.
  51. B. S. Lalli, S. Ruan and B. G. Zhang (1992), Oscillation theorems for nth-order neutral functional differential equations, Ann. of Differential Equations., 8, 401-413.
  52. S. Ruan (1992), Asymptotical stability for Volterra integrodifferential systems, Appl. Math. Comput., 52, 207-222.
  53. H. I. Freedman and S. Ruan (1992), Hopf bifurcation in the three-species food chain models with group defence, Math. Biosci., 111, 73-87.
  54. X. Liao and S. Ruan (1992), Stability of large scale neutral functional differential systems, J. Central China Normal Univ., 26, 5-12.
  55. S. Ruan and H. I. Freedman (1991), Persistence in the three-species food chain models with group defence, Math. Biosci., 107, 111-125.
  56. 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.
  57. S. Ruan (1991), Connective stability of discontinuous large scale systems, J. Math. Anal. Appl., 160, 480-484.
  58. S. Ruan (1991), Oscillations for first order neutral differential equation with variable coefficients, Bull. Austral. Math. Soc., 43 , 147-152.
  59. S. Ruan (1991), Oscillations of nth-order functional differential equations, Computers Math. Appl., 21, No. 2-3, 95-102.
  60. S. Ruan and Z. Deng (1990), Oscillation criteria for second order linear differential systems, J. Central China Normal University, 24, 1-6.
  61. S. Ruan (1990), Graph theory method for the stability of large scale systems, Syst. Engin. Theor. Pract., 10, 78-80.
  62. J. Wu and S. Ruan (1990), Asymptotic stability of large scale neutral integrodifferential systems, Ann. of Differential Equations, 6, 217-224.
  63. S. Ruan (1990), Successive overrelaxation iteration for stability of large scale systems, J. Math. Anal. Appl., 146, 369-376.
  64. Z. Deng and S. Ruan (1989), Boundedness of solutions of nth order nonlinear functional integrodifferential equations, J. Central China Normal Univ., 23, 135-140.
  65. S. Ruan (1989), Stability of neutral integrodifferential equations, J. Central China Normal Univ., 23, 67-74.
  66. S. Ruan (1989), On global existence of the solutions of retarded Filippov systems, J. of Math., 9, 431-438.
  67. S. Ruan (1989), Stability analysis of large scale systems described by functional differential equations, J. Central China Normal Univ., 23, 57-66.
  68. S. Ruan (1989), Strong practical stability of retarded Filippov systems, Northeastern Math. J., 5, 6-10.
  69. 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.
  70. S. Ruan (1989), Stability of Volterra integrodifferential systems, J. Math. Anal. Appl., 137, 471-476.
  71. 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.
  72. S. Ruan (1988), The stability of the large scale linear delay systems, Math. Appl., 1, 107-110.
  73. 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.
  74. S. Ruan (1988), Connective stability for large scale systems described by functional differential equations, IEEE Trans. Autom. Control, 33, 198-200.
  75. S. Ruan (1986), On the existence of limit circles of nonlinear differential equations, J. Central China Normal Univ., 20, 131-134.
  76. S. Ruan (1984), Stability of a class of nonlinear differential equations with variable coefficients, J. Wuhan Inst. Tech., No. 4, 91-99.

PAPERS SUBMITTED