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.