Bifurcations in an epidemic model with constant removal rate of the infectives
type: Item
instance of: scholarly article
title: Bifurcations in an epidemic model with constant removal rate of the infectives
zbMATH Open document ID: 1054.34071
author: Wendi Wang
author: Shigui Ruan
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-06-15T00:00:00Z
review text: The authors propose an SIR epidemic model with a constant removal rate of the infective individuals to understand the effect of the treatment capacity on the disease transmission. This study reveals that it is unnecessary to take such a large treatment capacity. In addition, the outcome of disease spread may depend on the position of the initial states for certain range of parameters. Mathematically, it is shown that the model exhibits Bogdanov-Takens bifurcations, i.e., there are saddle-node bifurcation, subcritical Hopf bifurcation, and homoclinic bifurcation even though the incidence rate is bilinear. Some interesting numerical simulations are also involved in this paper.
reviewed by: Meng Fan
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 2075659
zbMATH Keywords: epidemic
zbMATH Keywords: bifurcation
zbMATH Keywords: global analysis
zbMATH Keywords: limit cycle
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.11.043
OpenAlex ID: W2081047588
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DOI: 10.1016/J.JMAA.2003.11.043
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description: scientific article; zbMATH DE number 2075659