In the present paper, we are concerned with a susceptible-infected-susceptible epidemic
reaction-diffusion model governed by a mass action infection mechanism and linear birth …

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 …

This paper performs qualitative analysis on an SIS epidemic reaction–diffusion system with
a linear source in spatially heterogeneous environment. The main feature of our model lies …

We propose a susceptible-exposed-infected-recovered-susceptible (SEIRS) reaction-
diffusion model, where the disease transmission and recovery rates can be spatially …

We propose a new reaction–diffusion predator–prey model system with predator-taxis in
which the preys could move in the opposite direction of predator gradient. A similar situation …

In this paper, we investigate a diffusive host–pathogen model with heterogeneous
parameters and distinct dispersal rates for the susceptible and infected hosts. We first prove …

In this paper, we derive and analyze a reaction-diffusion cholera model in bounded spatial
domain with zero-flux boundary condition and general nonlinear incidence functions. The …

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 …

We study some reaction-diffusion systems for infectious diseases and investigate how the
dynamics is impacted by the movement of populations and spatial heterogeneity of the …

We study the asymptotic behavior of endemic equilibrium solutions of a diffusive epidemic
model in spatially heterogeneous environment when the diffusion rates d S of the …