Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response
type: Item
instance of: scholarly article
title: Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response
zbMATH Open document ID: 1203.34134
author: Xinyu Song
author: Shaoli Wang
author: Xueyong Zhou
published in: Journal of Applied Mathematics and Computing
publication date: 2010-06-29T00:00:00Z
review text: The authors consider a class of general viral infection model with delayed non-lytic immune response. Some sufficient conditions for local and global asymptotic stabilities of the viral free steady state are obtained. Also, the stability and Hopf bifurcation of the infected equilibrium are investigated. Finally, some numerical simulations are carried out to illustrate the corresponding mathematical results.
reviewed by: Hong Zhang
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K19
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5728298
zbMATH Keywords: functional differential equations
zbMATH Keywords: viral infection
zbMATH Keywords: center manifold
zbMATH Keywords: Hopf bifurcation
MaRDI profile type: Publication
full work available at URL: s12190-009-0285-y
OpenAlex ID: W2142656638
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DOI: 10.1007/S12190-009-0285-Y
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description: scientific article; zbMATH DE number 5728298