Dr. Xiaoqiang Zhao's Recent Papers (2009-Present)

Infinite Dimensional Dynamical Systems

• Y. Zhang and X.-Q. Zhao, Bistable Travelling Waves in Competitive Recursion Systems, J. Differential Equations, 252(2012), 2630-2647.
• J. Fang and X.-Q. Zhao, Monotone Wavefronts of the Nonlocal Fisher-KPP Equation, Nonlinearity, 24(2011), 3043-3054.
• Y. Yuan and X.-Q. Zhao, Global Stability for Non-monotone Delay Equations (with Application to A Model of Blood Cell Production), J. Differential Equations, 252(2012), 2189–2209.
• S.-B. Hsu, F.-B. Wang and X.-Q. Zhao, Dynamics of A Periodically Pulsed Bio-reactor Model with A Hydraulic Storage Zone, J. Dynamics and Differential Equations, 23(2011), 817-842.
• J. Fang and X.-Q. Zhao, Bistable Traveling Waves for Monotone Semiflows with Applications, 50 pages, submitted, 2010, arXiv:1102.4556v1 [math.AP], http://arxiv.org/PS_cache/arxiv/pdf/1102/1102.4556v1.pdf
• J. Fang, J. Wei and X.-Q. Zhao, Uniqueness of Traveling Waves for Nonlocal Lattice Equations, Proc. Amer. Math. Soc., 139(2011), 1361-1373.
• Y. Wang and X.-Q. Zhao, Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows, Fields Institute Communications, in press, 2011.
• X. Liang and X.-Q. Zhao, Spreading Speeds and Traveling Waves for Abstract Monostable Evolution Systems, Journal of Functional Analysis, 259(2010), 857-903.
• X.-Q. Zhao, Global Attractivity in A Class of Nonmonotone Reaction-Diffusion Equations with Time Delay, Canadian Appl. Math. Quarterly, 17(2009), 271-281.

Spatial Dynamics of Evolution Systems

• R. Peng and X.-Q. Zhao, The Diffusive Logistic Model with A Free Boundary and Seasonal Succession, Discrete and Continuous Dynamical Systems (Ser. A), in press.
• P. Weng and X.-Q. Zhao, Spatial Dynamics of A Nonlocal and Delayed Population Model in A Periodic Habitat, Discrete and Continuous Dynamical Systems (Ser. A), 29(2011), 343-366.
• M. Mei, C. Ou and X.-Q. Zhao, Global Stability of Monostable Traveling Waves for Nonlocal Time-Delayed Reaction-Diffusion Equations, SIAM J. Math. Anal., 42(2010), 2762-2790.
• J. Fang, J. Wei and X.-Q. Zhao, Spreading Speeds and Traveling Waves for Non-monotone Time-delayed Lattice Equations, Proceedings of the Royal Society A, 466(2010),1919-1934.
• J. Fang and X.-Q. Zhao, Existence and Uniqueness of Traveling Waves for Non-monotone Integral Equations With in Applications, J. Differential Equations, 248(2010), 2199-2226.
• Y. Lou and X.-Q. Zhao, Periodic Ross-Macdonald Model With Diffusion and Advection, Applicable Analysis, 89(2010), 1067-1089.
• H. Weinberger and X.-Q. Zhao, An Extension of The Formula for Spreading Speeds, Mathematical Biosciences and Engineering, 7(2010), 187-194.
• J. Fang and X.-Q. Zhao, Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems, J. Dynamics and Differential Equations, 21(2009), 663-680.
• Y. Jin and X.-Q. Zhao, Spatial Dynamics of A Non-local Periodic Reaction-Diffusion Model with Stage Structure, SIAM J. Math. Anal., 40(2009), 2496-2516.
• M. Ma, C. Ou and X.-Q. Zhao, Persistence of Periodic Patterns for Perturbed Biological Oscillators, J. Differential Equations, 247(2009), 2597-2619.
• Y. Jin and X.-Q. Zhao, Spatial Dynamics of A Discrete-Time Population Model in A Periodic Lattice Habitat, J. Dynamics and Differential Equations, 21(2009), 501-525.
• Y. Jin and X.-Q. Zhao, Spatial Dynamics of A Periodic Population Model with Dispersal, Nonlinearity, 22(2009), 1167-1189.

Mathematical Ecology and Epidemiology

• Z. Xu and X.-Q. Zhao, A Vector-Bias Malaria Model with Incubation Period and Diffusion, Discrete and Continuous Dynamical Systems (Ser. B), in press.
• R. Peng and X.-Q. Zhao, A Reaction–Diffusion SIS Epidemic Model in A Time-Periodic Environment, Nonlinearity, 25(2012), 1451–1471.
• X.-Q. Zhao, Global Dynamics of A Reaction and Diffusion Model for Lyme Disease, J. Math. Biology, DOI 10.1007/s00285-011-0482-9.
• X. Liu and X.-Q. Zhao, A Periodic Epidemic Model with Age Structure in A Patchy Environment, SIAM J. Appl. Math., 71(2011), 1896–1917.
• S.-B. Hsu and X.-Q. Zhao, A Lotka-Volterra Competition Model with Seasonal Succession, J. Math. Biology, 64(2012), 109-130.
• Y. Lou and X.-Q. Zhao, Modeling Malaria Control by Introduction of Larvivorous Fish, Bull. Math. Biology, 73(2011), 2384–2407.
• Y. Lou and X.-Q. Zhao, A Reaction-Diffusion Malaria Model with Incubation Period in The Vector Population, J. Math. Biol., 62(2011), 543-568.
• W. Wang and X.-Q. Zhao, A Nonlocal and Time-delayed Reaction-Diffusion Model of Dengue Transmission, SIAM J. Appl. Math., 71(2011), 147-168.
• Y. Lou and X.-Q. Zhao, A Climate-Based Malaria Transmission Model with Structured Vector Population, SIAM J. Appl. Math., 70(2010), 2023-2044.
• L. Liu, X.-Q. Zhao and Y. Zhou, A Tuberculosis Model with Seasonality, Bull. of Math. Biology, 72(2010), 931-952.
• Y. Lou and X.-Q. Zhao, Threshold Dynamics in A Time-Delayed Periodic SIS Epidemic Model, Discrete and Continuous Dynamical Systems (Ser. B), 12(2009), 169-186.
• White and X.-Q. Zhao, Threshold Dynamics in A Time Delayed Epidemic Model With Dispersal, Math. Biosci., 218(2009), 121-129.
• M. White and X.-Q. Zhao, A Periodic Droop Model for Two Species Competition in A Chemostat, Bull. Math. Biology, 71(2009), 145-161.