We study the dynamics of a SIS epidemic model of reaction–diffusion–advection type. The
persistence of infected and susceptible populations and the global stability of the disease …

We study the effects of diffusion and advection for a susceptible-infected-susceptible
epidemic reaction–diffusion model in heterogeneous environments. The definition of the …

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 …

Unlike unconditionally advantageous “Fisherian” variants that tend to spread throughout a
species range once introduced anywhere,“bistable” variants, such as chromosome …

We consider a single species model and a two-species competition model in a one-
dimensional advective homogeneous environment. One interesting feature in these models …

The question how aquatic populations persist in rivers when individuals are constantly lost
due to downstream drift has been termed the “drift paradox.” Recent modeling approaches …

We are concerned with a reaction–diffusion–advection SIS epidemic model with mass action
infection mechanism in a one dimensional bounded domain. We first prove the existence of …

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 …

In this paper, we mainly investigate the population dynamics of a general competitive
parabolic system including both diffusion and advection. For such a class of systems, we …

We consider a two-species Lotka–Volterra competition model in a one-dimensional habitat
where one species assumes pure random diffusion while another one undergoes mixed …