Research  Interest

  Recently I work on  spatial-temporal Patterns modeled by differential equations. Most of my models are from physical or biological systems.   The research methods  are mainly related to the following subjects: 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.

    

  

 

 

Selected Publications :

STATIONARY SOLUTIONS OF A VOLUME-FILLING CHEMOTAXIS MODEL WITH LOGISTIC GROWTH AND THEIR STABILITY, SIAM. Appl. Math., 72(2012), 740-766. (With M. Ma and Z. Wang).
Global Stability of Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations, with M. Mei and X. Zhao,  SIAM. Math. Anal. 42(2010), 2762--2790.
Traveling Wavefronts in a Volume-filling Chemotaxis Model (with Wei Yuan)SIAM Applied Dynamical Systems, 8(2009), 390-416.
Traveling wavefronts in a delayed food-limited population model, SIAM J. Math Anal, (39)2007, 103-125, with J. Wu. 
Spatial Spread of Rabies Revisited: Influence of Age-Dependent Diffusion on Nonlinear Dynamics, SIAM J Appl. Math., 67(2006), 138-164.   with J. Wu. 
Periodic oscillations of blood cell populations in periodic chronic myelogenous Leukemia, SIAM J Math. Anal., 38(2006), 166-187. With M. Mackey, L. Pujo-menjouet, and J. Wu