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),
|Traveling Wavefronts in a Volume-filling Chemotaxis Model (with
Wei Yuan), SIAM Applied Dynamical Systems, 8(2009),
|Traveling wavefronts in a delayed food-limited population
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