Open Access
2012 Analysis of a HBV Model with Diffusion and Time Delay
Noé Chan Chí, Eric ÁvilaVales, Gerardo García Almeida
J. Appl. Math. 2012: 1-25 (2012). DOI: 10.1155/2012/578561


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.


Download Citation

Noé Chan Chí. Eric ÁvilaVales. Gerardo García Almeida. "Analysis of a HBV Model with Diffusion and Time Delay." J. Appl. Math. 2012 1 - 25, 2012.


Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1263.92024
MathSciNet: MR2997241
Digital Object Identifier: 10.1155/2012/578561

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top