Publications

    In press or accepted (send me an email if you are interested in any of these):

  1. Existence and uniqueness of positive solution to a non-local differential equation with homogeneous Dirichlet boundary condition---A non-monotone case (with Z. Guo and Z. Yang), Commun. Pure Appl. Anal., accepted. [pdf]

  2. Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment (with N. K. Vaidya and F.-B. Wang), Disc. Conti. Dynam Syst. B, accepted. [pdf]

  3. Threshold dynamics of an infective disease model with a fixed latent period and non-local infections (with Z.M. Guo and F.-B. Wang), J. Math. Biol., in press (DOI: 10.1007/s00285-011-0500-y). [pdf]

  4. Transmission Dynamics of the Recently-Identified BYD Virus Causing Duck Egg-Drop Syndrome (with Naveen Vaidya, Feng-bin Wang and Lindi Wahl), PLoS ONE 7(4)(2012): PLoS ONE 7(4)(2012): e35161.

  5. Impact of discontinuous treatments on an SIR disease model (with Z. Guo and L. Huang), Math. Bioscien. Eng., 9(2012), 97-110. [pdf]

  6. Bifurcation analysis on an HIV-1 model with constant injection of recombinant (with P. Yu), Int. J. Bifurcation & Chaos, 22(2012), 1250062:1-21. [pdf]

  7. Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain (with T. Yi), J. Diff. Eqns., 251(2011), 2598-2611. [pdf]

  8. Flu epidmics: A two strain flu model with a single vaccination (with S. M. A. Rahman), J. Biol. Dynam. 5(2011), 376-390. [pdf]

  9. Traveling wavefronts for lattice differential equations with time delay and global interaction (with S. Ma), Fields Institute Communications, 61(2011), 1-19. [pdf]

  10. A mathematical model for the control and eradication of a wood boring beetle infestation (with S. Gourley), SIAM Rev. 53(2011), 321-345. [pdf]. This is a republication of SIAM J. Appl. Math., 68(2008), 1665-1687, selected by SIAM Review as a "SIGEST" paper. This paper also won A Nugget from SIAM in 2009.

  11. Impact of group mixing on disease dynamics (with P. van den Driessche and L. Wang), Mathematical Biosciences, 228(2010), 71-77. [pdf]

  12. Map dynamics versus dynamics of associated delay R-D equation with Neumann boundary condition (with T. Yi), Proc. Royal. Soc. London, A. 466 (2010), 2955-2973. [pdf]

  13. Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population (with Z. Yuan), Nonlin. Anal. RWA, 11(2010), 3479-3490. [pdf].

  14. Wave fronts in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections (with F. Magpantay), Math. Biol. Eng., 7(2010), 421-442. [pdf]

  15. Dynamics of an epidemic model with non-local infections for diseases with latency over a patch environment (with J. Li), J. Math. Biol., 60(2010), 645-686. [pdf]
  16. Rich dynamics in a non-local population model over three patches (with P. Weng and C. Xiao), Nonlinear Dynamics, 59(2010), 161-172. [pdf]

  17. Co-invasion waves of a reaction diffusion model for competing pioneer and climax species (with Z. Yuan), Nonlin. Anal. RWA, 11(2010), 232-245. [pdf]

  18. Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain (with J. Li), Bulletin of Mathematical Biology, 71(2009), 2048-2079. [pdf]

  19. Existence and global exponential stability of periodic solution to a class of functional differential equations (with X. Tang), Nonlinearity, 22(2009), 2423–2442. [pdf]

  20. Dynamics of an HIV-1 therapy model of fighting a virus with another virus (with X. Jiang, P. Yu and Z. Yuan), Journal of Biological Dynammics, 3(2009), 387-409. [pdf]

  21. Hopf bifurcation analysis for a model of genetic regulatory system with delay (with A. Wan), J. Math. Anal. Appl., 356(2009), 464-476. [pdf]

  22. Generalization of the Kermack-McKendrick SIR model to patch environment for a disease with latency (with J. Li), Mathematical Modelling of Natural Phenomena, 4(2009), No. 2, 92-118. [pdf]

  23. New generic quasi-convergence principles with applications (with T. Yi), J. Math. Anal. Appl., 353(2009), 178-185. [pdf]

  24. Generic quasi-convergence for essentially strong order-preserving semiflows (with T. Yi), Canadian Mathematical Bulletin, 52(2009), 315-320. [pdf]

  25. Dynamics of a HIV-1 Infection model with cell-mediated immune response and intracellular delay (with H. Zhu), Disc. Cont. Dyan. Syst. B., 12(2009), 511-524 [pdf]

  26. Global Stability In A Model For Interactions Between Two Strains Of Host And One Strain Of Parasite (with Y. Xiao), Canad Appl. Math. Qart., 16(2008), 211-218. [pdf]

  27. A mathematical model for the control and eradication of a wood boring beetle infestation (with S. Gourley), SIAM J. Appl. Math., 68(2008), 1665-1687. [pdf]

  28. Dynamics in Numerics: on a discrete predator-prey model (with Y. Huang and X. Jiang),Differential Equations and Dynamical Systems, 16(2008), 163-182. [pdf]

  29. Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case (with T. Yi), Journal of Differential Equations, 245(2008), 3376-3388. [pdf]

  30. Impact of delays in cell infection and virus production on HIV-1 dynamics, (with H. Zhu), Mathematical Medicine and Biology, 25(2008), 99-112. [pdf]

  31. 3/2 type conditions for global attractivity in a delayed predator-prey system (with X.-H. Tang), Proceedings of the Edinburgh Mathematical Society, 51 (2008), 495-508. [pdf]

  32. Convergence of discrete-time neural networks with delays (with L. Wang), International J. Qualitative Theo. Diff. Eqn. Appl. 2(2008), 24-37. [pdf]

  33. Impact of dispersion on dynamics of a discrete metapopulation model (with Y. Huang), Open Systems and Information Dynamics, 14 (2007), 379-396. [pdf]

  34. Modeling diseases with latancy and relapse (with P. van den Driessche and L. Wang), Mathemaical Biosciences and Engineering, 4(2007), 205-219. [pdf]

  35. Modeling relapse in infectious diseases (with P. van den Driessche), Mathematical Biosciences, 207(2007), 89-103. [pdf]

  36. Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation (with S. Ma and P. Weng), Nonl. Anal. TMA., 65 (2006), 1858-1890 [pdf]

  37. Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (with X. H. Tang and D. Cao), J. Differential Equtions, 228(2006), 580-610. [pdf]

  38. Birfurcation analysis of a population model and the resulting SIS epidemic model with delay (with J. Wei), J Comp. Appl. Math. {\bf 197}(2006), 169-187. [pdf]

  39. On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments (with X. H. Tang), Proc. Amer. Math. Soc. 134(2006), 2967-2974. [pdf]

  40. Traveling wave solutions in delayed reaction diffusion systems with partial monotonicity (with J. Huang), Acta Mathematicae Applicatae Sinica, 22(2006), 243-256. [pdf]

  41. On dynamics of generalized competitive and cooperative systems, (L. Huang and T. Yi), Tohoku Mathematical Journal, 58(2006), 89-100. [pdf]

  42. Permanence for a class of nonlinear difference systems (with B. Dai), Discrete Dynamics In Nature and Society, 2006 (2006), 1-10. [pdf]

  43. Co-existence of chaos and stable periodic orbits in a simple discrete neural network, (with Y. Huang), J. Nonlinear Sciences. 15(2005), 291--303. [pdf]

  44. Existence, uniqueness and stability of traveling waves in a discrete reaction-diffusion monostable equation with delay (with S. Ma), J. Differential Equations, 217(2005), 54-87. [pdf]

  45. Bifurcation analysis of bidirectional associate memory neural network with self-conncention (with L. Wang), Intern. J. Bifurc. Chaos, 15(2005), 2145-2159. [pdf]

  46. Dynamics in numerics: on two different finite difference schemes for ODEs (with Y. Huang), J. Compt. Appl. Math., 181 (2005), 388-403. [pdf]

  47. Propagation and Its Failure in A Lattice Delayed Differential Equation with Global Interaction (with S. Ma), J Differential Equations. 212 (2005), 129-190. [pdf]

  48. Periodic solutions of second order self-adjoint difference equations (with J. Yu and Z. Guo), J. London Math. Soc. 71 (2005), 146--160. [pdf]

  49. Existence of traveling wave fronts of delayed lattice differential equations (with J.H. Huang and G. Lu), J Math. Anal. Appl. 298 (2004), 538-558. [pdf]

  50. Global attractivity for non-autonomous linear delat systems (with J. So and X.H. Tang), Funkcialaj Ekvacioj, 47(2004), 25-40. [pdf]

  51. Exponential stability of delay difference equations with applications to neural networks (with L. Wang), Fields Institute Communications, 42 (2004), 335-347. [pdf]

  52. Hopf bifurcation in bi-directional associative memory neural networks with delays: analysis and computation (with L. Wang),J. Comput. Appl. Math., 167 (2004), 73-90. [pdf]

  53. Capacity of stable periodic solutions in discrete-time bidirectional associate memory neural networks (with L. Wang), [IEEE Trans. Circ. Syst---II: Express Briefs, 51 (2004), 315-319. [pdf]

  54. Multiple periodic patterns via discrete neural nets with delayed feedback loops (with J. Wu and R. Zhang), Int. J. Bif. Chaos, 14(2004), 2915-2923.

  55. Global asymptotic stability of a class of non-autonomous integro-differential systems and applications (with M. Fan), Nonlin. Anal. TMA, 57(2004), 111-135. [pdf]

  56. Stability of linear neutral systems with multiple delays: boundary criteria (with G-D. Hu and G.-D. Hu), Appl. Math. Comp.148 (2004), 707-715. [pdf]

  57. Population dynamic models with nonlocal delay on bounded fields and their numeric computations (with D. Liang, J. So and F. Zhang), Diff. Eqns. Dynam. Syst. 11 (2003), 117-139. [pdf]

  58. Stability of scalar delay differential equations with dominant delayed terms (with X. H. Tang), Proc. Roy. Soc. Edinb. A, 133 (2003), 951-968. [pdf]

  59. Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedbacks (with X. H. Tang), J. Differential Equaitons, 192 (2003), 502-535. [pdf]

  60. Stable periodic solutions in a discrete periodic logistic equation (with Z. Zhou), Appl.Math. Lett. 16 (2003), 165-171.[pdf]

  61. Dynamics of a non-autonomous ratio-dependent predator-prey system (with M. Fan and Q. Wang), Proc. Royal Soc. Edinb. A, 133 (2003), 97-118. [pdf]

  62. 3/2 type criteria for global attractivity of Lotka-Volterra discrete system with delays (with X. H. Tang and L Wang), Fields Institute Communications, 36 (2003), 229-245.[pdf]

  63. Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity (with J. H. Huang), Disc. Conti.Dynam Syst. A, 9 (2003), 925-936. [pdf]

  64. A 3/2 stability result for the Logistics equation with two delays (with X. Li and Z. Wang), Commun. Appl. Anal., 7 (2003), 193-202.

  65. Periodic traveling waves in reaction diffusion systems with delays, (with Z.C. Wang and Z.Q. Zhang), Dynam. Conti. Disc. Impuls. Syst. Ser. A, 10(2003), 59-74. [pdf]

  66. 3/2-type criteria for global attractivity of Lotka-Volterra competition system without instantaneous negative feedbacks (with X.-H. Tang), J. Differential Equations, 186(2002), 420-439. [pdf]

  67. Harmless delay in Cohn-Grossburg neural network (with L. Wang), Physica D, 170 (2002), 162-173. [pdf]

  68. Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type, J. Comput. Appl. Math., 146 (2002), 309-321. [pdf]

  69. Periodic solutions of neutral functional differential equations (with L. Wang and Z. Wang), J. London Math. Soc., 65 (2002), 439-452. [pdf]

  70. Exponential stability of Cohn-Grossburg neural network (with L. Wang), Neural Networks, 15 (2002), 415-422.[pdf]

  71. Traveling Wavefronts in Diffusive and Cooperative Lotka-Volterra System with Delays (with J. Huang), J. Math. Anal. Appl., 271 (2002), 455-466. [pdf]

  72. A 3/2 stability result for a regulated logistic growth (with X. H. Tang), Disc. Conti. Dynam. Syst. Ser. B, 2 (2002), 265-278. [pdf]

  73. Asymptotic stability of a neutral differential equation (with X. Tang), Proc. Edinb. Math. Soc., 45 (2002), 333-347. [pdf]

  74. Stability in linear delay systems without instantaneous negative feedbacks (with J. So and X. H. Tang), SIAM J Math. Anal.,33 (2002), 1297-1340.[pdf]


  75. A reaction diffusion model for a single species with age structure ---I. Traveling wave fronts on unbounded domains (with J. So and J. Wu), Proc. Royal Soc. London. A, 457(2001), 1841-1854. [pdf]

  76. Threshold dynamics in a delayed SIS epidemic model (with X.-Q. Zhao), J. Math. Anal. Appl., 257(2001), 282-291. [pdf]

  77. Stabilization role of inhibitory self-connections in a delayed neural network (with P. van den Driessche and J. Wu), Physica D., 150(2001), 84-90. [pdf]

  78. Traveling wave front solutions in reaction-diffusion systems with delay (with J. Wu), J. Dynamics and Differential Equations, 13(2001), 651-687. [pdf]
    Erratum: J. Dynamics and Differential Equations, 20(2008), 531-533. [pdf]

  79. Structured population on two patches: modeling dispersal and delay (with J. So and J. Wu), J. Math. Biol., 43(2001), 37-51.[pdf]

  80. Oscillation of delay difference equations: near a critical case (with Z.C. Wang and R. Y. Zhang), Dynam. Conti. Disc. Impuls. Syst. Ser. A., 9 (2001), 89-104.

  81. Stabilization role of self-inhibitory connections in Cohn-Grossberg neural networks with general activation functions (with L. Wang), Diff. Eqns. Dynam. Syst., 9 (2001), 341-352.

  82. Traveling waves for the diffusive Nicholson's blowflies equation (with J. H.-W., So) Appl. Math. Comput. 122 (2001), 385--392. [pdf]

  83. Interaction of maturation delay and nonlinear birth in population and epidemic models (with K. Cooke and P. van den Driessche), J.Math. Biol., 39(1999), 332-352. [pdf]

  84. Global attractivity in delayed Hopfield neural network models (with P. van den Driessche), SIAM J. Appl.Math., 58:6(1998), 1978-1890. [pdf]

  85. Local existence and stability of periodic traveling waves of lattice functional differential equations (with J. Wu), Canad. Appl. Math. Quart., 6:4(1998), 397-416. [pdf]

  86. Dynamics of single species populations over a patchy environment (with X. He and J. Wu), in Advanced Topics in Biomathematics, L. Chen et al eds., pp. 63-77, World Scientific, Singapore, 1998. [pdf]

  87. Existence of traveling wave fronts in delayed reaction-diffusion systems via monotone iteration method (with J. Wu), Proc. Amer. Math. Soc., 125(1997), 2589-2598. [pdf]

  88. Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice functional differential equations (with J. Wu), J. Differential Equations, 135(1997), 315-357. [pdf]

  89. Traveling wave fronts in spatially discrete reaction-diffusion equations on higher dimensional lattices , in Differential Equations and Computational Simulations III, J. Graef et al eds, Electronic Journal of Differential Equations, Conference 01 (1997), pp.211-222.[pdf]

  90. Local-nonlocal interaction and spatio-temporal patterns in single-species population over a patch environment (with N. Madras and J. Wu), Canad. Appl. Math. Quart., 4:1(1996), 109-134. [pdf]

  91. On a hyperlogistical delay equation (with J. Yu and J. Wu), J. Glasgow Math., 38(1996), 255-261.

  92. Phase-locked oscillations in predator-prey communities over heterogeneous spaces (with J. Wu and J. Wei), Acta Mathematica Sinica, 39:4(1996), 566-573.

  93. Allee effect and Hopf Bifurcations in single-species populations over a patch environment (with J. Wu), J. Dynamical System and Applications, Vol. 2 (Atlanta, GA, 1995), 577- 584, Dynamic, Atlanta, GA, 1996.

  94. Direction and stability of delay bifurcating periodic solutions in predator-prey systems with discrete delay (with Q. Huang, J. Wei and J. Wu), Lecture Notes in Pure and Applied Mathematics, Vol.176, pp 107-119, Marcel-Dekker, 1996.

  95. Patterns of sustained oscillations in neural networks with delayed interactions (with J. Wu), Appl. Math. Comput., 73(1995), 55-75. [pdf]

  96. On the boundedness of the generalized Lienard systems without the signum condition (with L. Huang), Math. Japonica, 42:2(1995), 283-292.

  97. Comparison theorems concerning the oscillation of higher order functional differential equations with middle terms, Funkcialaj Ekvacioj, 37:1(1994), 45-57. [pdf]

  98. Comments on `Euclidean null-controlability of linear systems with distributed delays in control', IEEE Trans. Automat. Control, 38:3(1993), p510.

  99. A mathematical model for Allee effect in single-species dynamics of animals and behavior of solutions to the model, J. Biomath., 7:1(1992) 95-98.

  100. Asymptotics behavior of first order linear neutral differential equations (with Z. Wang and J. Yu), Ann. Diff. Eqns., 8:2(1992), 200-203.

  101. Determination of the smallest constraints for the control of the linear controled systems , Hunan Ann. Math., 8:1(1991), 128-136.

  102. Oscillation and asymptotic behavior of solutions of Nth-order functional differential equations with middle terms, Ann. Diff. Eqns., 7:4(1991), 494-510.

  103. Necessary and sufficient conditions for the oscillation of all unbounded solutions (with K.Farrel, G.Ladas and Z.Wang), J. Math. Phy. Sci.,24:6(1990), 351-361.

  104. Necessary and sufficient conditions for oscillation of solutions of first order linear difference-differential equations, J. Hunan University, 17:3(1990), 113-120.

  105. Oscillatory behavior of solutions of biological models with delays, J. Central-South Forestry University, 10:2(1990), 143-147.