Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality
type: Item
instance of: scholarly article
title: Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality
zbMATH Open document ID: 1080.34034
author: Azmy S. Ackleh
author: Linda J. S. Allen
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2005-07-01T00:00:00Z
review text: SIR and SIS epidemic models are considered, where several strains of infection are attacking a single host. Without the infection the host has a logistic-type dynamics, per capita infection rates of susceptibles are proportional to the densities of the infectives of the different strains in the total population, there are additional death rates corresponding to the infections of the respective strains. Sufficient conditions are given for competitive exclusion among the different strains, i.e., under which a single strain prevails and the rest disappear. Numerical examples show that the conditions are not necessary. Conditions are given also for the disappearance of all the strains.
reviewed by: M. Farkas
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 2185460
MaRDI profile type: Publication
full work available at URL: dcdsb.2005.5.175
OpenAlex ID: W1993376089
DOI: 10.3934/DCDSB.2005.5.175
description: scientific article; zbMATH DE number 2185460