Stability analysis of a stage structured SIS model with general incidence rate
type: Item
instance of: scholarly article
title: Stability analysis of a stage structured SIS model with general incidence rate
zbMATH Open document ID: 1198.34186
author: Chufen Wu
author: Peixuan Weng
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-06-03T00:00:00Z
review text: A stage structured SIS model with a general incidence rate is investigated. The population is divided into three subclasses of juvenile, mature and infectious individuals. The incidence rate \(aU(S)I\), where \(U\) is a function of \(S\), includes the bilinear mass-action form \(\beta SI\), the nonlinear form \(\beta I^p S^q (p=1)\) and the saturation form \(\beta SI/(1+\alpha S)\). By identifying a basic reproductive number \(R_0\), a global dynamics analysis is carried out. If \(R_0<1,\) the disease-free equilibrium is globally asymptotically stable and therefore the disease dies out over time. Whereas, if \(R_0>1,\) the endemic equilibrium is globally asymptotically stable and thus the disease will become a pandemic. Finally a numerical simulation is performed.
reviewed by: Liancheng Wang
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5716752
zbMATH Keywords: SIS model
zbMATH Keywords: stage structure
zbMATH Keywords: asymptotic stability
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.04.008
OpenAlex ID: W2059251409
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DOI: 10.1016/J.NONRWA.2009.04.008
description: scientific article; zbMATH DE number 5716752