Asymptotic properties of a hepatitis B virus infection model with time delay
type: Item
instance of: scholarly article
title: Asymptotic properties of a hepatitis B virus infection model with time delay
zbMATH Open document ID: 1204.34111
DOI: 10.1155/2010/182340
author: Xiaohong Tian
author: Rui Xu
published in: Discrete Dynamics in Nature and Society
publication date: 2010-09-29T00:00:00Z
full work available at URL: https://eudml.org/doc/222529
review text: Summary: A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the model is studied. By using comparison arguments, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproduction ratio is greater than unity, by means of an iteration technique, sufficient conditions are derived for the global asymptotic stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 5793479
MaRDI profile type: Publication
OpenAlex ID: W2163024558
Wikidata QID: Q58650747
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description: scientific article; zbMATH DE number 5793479