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

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 …

In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR
epidemic system under Neumann boundary conditions. We first establish the conditions for …

In this paper, we deal with an SIRS reaction–diffusion epidemic model with saturation
infection mechanism. Based on the uniform boundedness of the parabolic system, we …

We study the effect of diffusion and frequency on the principal eigenvalue of linear time-
periodic parabolic operators with zero Neumann boundary conditions. Monotonocity of the …

We examine the effect of human mobility on disease prevalence by studying the
dependence of the total infected population at endemic equilibria with respect to population …

This article studies a multi-strain epidemic model with diffusion and environmental
heterogeneity. We address the question of a control strategy for multiple strains of the …

We discuss the effects of movement and spatial heterogeneity on population dynamics via
reaction-diffusion-advection models, focusing on the persistence, competition, and evolution …

In this paper, we consider a reaction-diffusion SIS epidemic model with saturated incidence
rate in advective heterogeneous environments. The existence of the endemic equilibrium …

This paper concerns the qualitative analysis on a reaction-diffusion SIS (susceptible-infected-
susceptible) epidemic model governed by the saturated incidence infection mechanism in …