Journal of Applied Mathematics

Analysis of a HBV Model with Diffusion and Time Delay

Noé Chan Chí, Eric ÁvilaVales, and Gerardo García Almeida

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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.

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

First available in Project Euclid: 2 January 2013

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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.

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