Global asymptotic stability of endemic equilibria for a diffusive SIR epidemic model with saturated incidence and logistic growth
type: Item
instance of: scholarly article
title: Global asymptotic stability of endemic equilibria for a diffusive SIR epidemic model with saturated incidence and logistic growth
zbMATH Open document ID: 1502.35015
author: Yutaro Chiyo
author: Yuya Tanaka
author: Ayako Uchida
author: Tomomi Yokota
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-11-23T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7622299
zbMATH Keywords: SIR epidemic model
zbMATH Keywords: endemic equilibria
zbMATH Keywords: logistic growth
zbMATH Keywords: saturated incidence rate
zbMATH Keywords: global stability
zbMATH Keywords: asymptotic profile
MaRDI profile type: Publication
full work available at URL: dcdsb.2022163
OpenAlex ID: W4293462222
cites work: Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate in a heterogeneous environment
cites work: Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
cites work: Q5630031
cites work: Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment
cites work: Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks
cites work: Geometric theory of semilinear parabolic equations
cites work: Boundedness vs. blow-up in a chemotaxis system
cites work: Q5562267
cites work: Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates
cites work: Bifurcation analysis of an SIR model with logistic growth, nonlinear incidence, and saturated treatment
cites work: Q3342966
cites work: A reaction-diffusion model for a deterministic diffusive epidemic
cites work: Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection
cites work: Analysis of a delayed SIR model with nonlinear incidence rate
cites work: The periodic solution of a class of epidemic models
cites work: Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action
DOI: 10.3934/DCDSB.2022163
description: scientific article; zbMATH DE number 7622299