Research InterestRecently I have been working on spatial-temporal Patterns modeled by differential equations. Most of my models are from physical or biological systems. The research objects and methods are mainly related to the following subjects: Mathematical biology, Applied dynamical systems, Applied DEs(PDE, ODE, DDE, Delayed PDE) Theory, Asymptotic Analysis (asymptotics, perturbation method, boundary layer theory). Besides the theoretical methods, numerical simulations are often used.
Editorial Service 1. Associate editor of Boundary Value Problems, an open Journal of Springer 2. Associate editor of New Trend in Nonlinear Analysis and Application.
This website was updated on 2021.
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Recent PublicationsSpreading dynamics of a Lotka-Volterra competition model in periodic habitats, J. Differential Equations, 270(2021), 664-693. with H. Wang, H. Wang, PDF Propagation Speed of the Bistable Traveling Wave to the Lotka-Volterra Competition System in a Periodic Habitat, Journal of Nonlinear Science, 2020, https://doi.org/10.1007/s00332-020-09646-5. With H. Wang PDF Bistable wave speed of the Lotka-Volterra Competition Model, Journal of Biological Dynamics, 14(1)(2020), 608-620, DOI:10.1080/17513758.2020.1795284. with M. Ma, Q. Zhang, J. Yue PDF Z. Huang and C. Ou, Speed Determinacy of Traveling Waves to a Stream-Population Model with Allee Effect, SIAM. Appl. Math., 80 (2020), 1820-1840. With Z. Huang. PDF Propagation Direction of the Traveling Wave for the Lotka-Volterra Competitive Lattice System, J. Dynam. Differential Equations, 2020, https://doi.org/10.1007/s10884-020-09853-4. With H. Wang. PDF
Speed selection for the wavefronts of the lattice Lotka-Volterra competition system, (With H. Wang Z. Huang) Journal of Differential equations, 2020 PDF On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model, (With Ahmad Alhasanat), Journal of Mathematical Biology, 2020, PDF Speed selection for traveling waves of a reaction–diffusion–advection equation in a cylinder, (with Zhe Huang), Journal of Physical D, 2020. PDF Speed of the Traveling Wave for the Bistable Lotka-Volterra Competition Model, (with M. Ma), Nonlinearity, 2019,. Propagation Direction of the Bistable Traveling Wavefront for Delayed Non-local Reaction Diffusion Equations, PRSA, 2019 PDF Linear and Nonlinear Speed Selection for Mono-stable Wave Propagations, (With M. Ma) SIAM Math. Anal. 2019 (pdf) Stability of Traveling Waves to the Lotka-Volterra Competition Model, (With Ahmad Alhasanat), Complexity, 2019 (pdf) Minimal-speed selection of traveling waves to the Lotka-Volterra competition model, (With Ahmad Alhasanat), J. Differential Equations. 2019 (pdf) On a Conjecture Raised by Yuzo Hosono, J Dyn Diff Equa. (With Ahmad Alhasanat) 2019.(pdf) Existence, Uniqueness, Stability and Bifurcation of Periodic Patterns for a Seasonal Single Phytoplankton Model with Self-shading Effect, with M. Ma, J. Diff Equa. 2017 (pdf)
Selected Previous Publications :
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