Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-27
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tian, Xiaohong& Xu, Rui. 2010. Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-452495
Modern Language Association (MLA)
Tian, Xiaohong& Xu, Rui. Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-21.
https://search.emarefa.net/detail/BIM-452495
American Medical Association (AMA)
Tian, Xiaohong& Xu, Rui. Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-452495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452495