Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment
type: Item
instance of: scholarly article
title: Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment
zbMATH Open document ID: 1470.92373
author: Baoxiang Zhang
author: Yongli Cai
author: Bingxian Wang
author: Weiming Wang
published in: Mathematical Biosciences and Engineering
publication date: 2021-08-13T00:00:00Z
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7381831
zbMATH Keywords: ratio-dependent incidence rate
zbMATH Keywords: spatial heterogeneity
zbMATH Keywords: basic reproduction number
zbMATH Keywords: threshold dynamics
zbMATH Keywords: asymptotic profile
MaRDI profile type: Publication
full work available at URL: mbe.2020047
OpenAlex ID: W2984286401
Wikidata QID: Q91298337
cites work: Spatial heterogeneity and the design of immunization programs
cites work: Mathematical Structures of Epidemic Systems
cites work: Periodicity in an epidemic model with a generalized non-linear incidence
cites work: Epidemic models with nonlinear infection forces
cites work: Global analysis of an epidemic model with nonmonotone incidence rate
cites work: A stochastic SIRS epidemic model with nonlinear incidence rate
cites work: Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
cites work: Dynamical behavior of epidemiological models with nonlinear incidence rates
cites work: The mathematics of infectious diseases
cites work: Mathematical Models in Population Biology and Epidemiology
cites work: A stochastic SIRS epidemic model with infectious force under intervention strategies
cites work: Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate
cites work: Q5443126
cites work: A reaction-diffusion system modeling direct and indirect transmission of diseases
cites work: Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
cites work: Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment
cites work: Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
cites work: Turing patterns in a diffusive epidemic model with saturated infection force
cites work: Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
cites work: On a vector-host epidemic model with spatial structure
cites work: Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil
cites work: A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
cites work: Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
cites work: The effects of population heterogeneity on disease invasion
cites work: Geometric theory of semilinear parabolic equations
cites work: Q5533735
cites work: Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model
cites work: A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems
cites work: Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
cites work: On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
cites work: A reaction-diffusion SIS epidemic model in a time-periodic environment
cites work: Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
cites work: Evolution of a semilinear parabolic system for migration and selection without dominance
cites work: Dynamical systems in population biology
cites work: Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
cites work: Q4300998
DOI: 10.3934/MBE.2020047
description: scientific article; zbMATH DE number 7381831