Journal of Applied Mathematics

Analysis of a HBV Model with Diffusion and Time Delay

Noé Chan Chí, Eric ÁvilaVales, and Gerardo García Almeida

Full-text: Open access

Abstract

This paper discussed a hepatitis B virus infection with delay, spatial diffusion, and standard incidence function. The local stability of equilibrium is obtained via characteristic equations. By using comparison arguments, it is proved that if the basic reproduction number is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproductive number is greater than unity, by means of an iteration technique, sufficiently conditions are obtained for the global asymptotic stability of the infected steady state. Numerical simulations are carried out to illustrate our findings.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 578561, 25 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153570

Digital Object Identifier
doi:10.1155/2012/578561

Mathematical Reviews number (MathSciNet)
MR2997241

Zentralblatt MATH identifier
1263.92024

Citation

Chan Chí, Noé; ÁvilaVales, Eric; García Almeida, Gerardo. Analysis of a HBV Model with Diffusion and Time Delay. J. Appl. Math. 2012 (2012), Article ID 578561, 25 pages. doi:10.1155/2012/578561. https://projecteuclid.org/euclid.jam/1357153570


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