Global stability of a virus infection model with time delay and absorption
type: Item
instance of: scholarly article
title: Global stability of a virus infection model with time delay and absorption
zbMATH Open document ID: 1229.92061
DOI: 10.1155/2011/152415
author: Xiaohong Tian
author: Rui Xu
published in: Discrete Dynamics in Nature and Society
publication date: 2012-01-23T00:00:00Z
review text: Summary: A virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 5999615
Wikidata QID: Q58655418
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/152415
OpenAlex ID: W2054531127
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description: scientific article; zbMATH DE number 5999615