Backward bifurcation of an epidemic model with infectious force in infected and immune period and treatment
type: Item
instance of: scholarly article
title: Backward bifurcation of an epidemic model with infectious force in infected and immune period and treatment
zbMATH Open document ID: 1278.92044
DOI: 10.1155/2012/647853
author: Yakui Xue
author: Junfeng Wang
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: In this paper, an epidemic model, with an infectious force in the infected and immune periods and a treatment rate of infectious individuals, is proposed to understand the effect of the capacity for treatment on the disease spread. It is assumed that the treatment rate is proportional to the number of infective individuals below the capacity and is constant when the number of infective individuals is greater than the capacity. It is proved that the existence and stability of equilibria for the model is not only related to the basic reproduction number but also to the capacity for treatment of infective agents. It is found that a backward bifurcation occurs if the capacity is small. It is also found that there exist bistable endemic equilibria if the capacity is low.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 6078773
zbMATH Keywords: epidemic model
zbMATH Keywords: backward bifurcation
zbMATH Keywords: stability
Wikidata QID: Q58695790
reviewed by: Xueyong Zhou
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/647853
OpenAlex ID: W2032036168
cites work: Q3159622
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description: scientific article; zbMATH DE number 6078773