This review describes reaction-advection-diffusion models for the ecological effects and
evolution of dispersal, and mathematical methods for analyzing those models. The topics …

We consider a two-species competition model in a one-dimensional advective environment,
where individuals are exposed to unidirectional flow. The two species follow the same …

This paper is devoted to a review on the dynamics of two species competition systems
including the classical ODE, reaction-diffusion as well as reaction-diffusion-advection …

One reason why polluted water is the growing global concern is because it persists to pose
threats to the health of aquatic life. To study the effects of environmental toxicants on …

This paper concerns a diffusive logistic equation with a free boundary and sign-changing
intrinsic growth rate in heterogeneous time-periodic environment, in which the variable …

We study a two-species competition model in a closed advective environment, where
individuals are exposed to unidirectional flow (advection) but no individuals are lost through …

We study a two-species Lotka-Volterra competition system in one-dimensional advective
environments, where two species are supposed to be identical except their diffusion and …

This short paper concerns a diffusive logistic equation with a free boundary and sign-
changing coefficient, which is formulated to study the spread of an invasive species, where …

How organisms gather and utilize information about their landscapes is central to
understanding land-use patterns and population distributions. When such information …

The effects of weak and strong advection on the dynamics of reaction-diffusion models have
long been studied. In contrast, the role of intermediate advection remains poorly understood …