Qualitative analysis on an SIRS reaction–diffusion epidemic model with saturation infection mechanism. (December 2021)

• Record Type: Journal Article
• Authors: Liu, Chuanxin; Cui, Renhao
• Is Part Of: Nonlinear analysis. Volume 62(2021)
• Publication Date: 2021-12
• Subjects: SIRS epidemic model -- Saturated incidence rate -- Spatial heterogeneity -- Endemic equilibrium -- Asymptotic profile; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103364
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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 investigate the extinction and persistence of the infectious disease in terms of the basic reproduction number. To better investigate the effects of infection mechanism and individual diffusion, we further analyze the asymptotic profiles of the endemic equilibrium for small or large motility rate and large saturation rate. In particular it is shown that large saturation may cause the elimination of disease. Our study may provide some significant useful insight on disease control and prevention.