A model for hepatitis B disease with age-dependent susceptibility
Abstract
In this paper, a SEI model for hepatitis B is constructed in a closed population where the susceptibility depends on the chronological age and the basic reproduction rate R0is derived. Under suitable (biological and mathematical) assumptions, it is shown that the disease free equilibrium is globally asymptotically stable (GAS) if R0< 1. In other hand R0> 1 induces that endemic equilibrium is GAS and the system is uniformly persistent.
Copyright © 2014 D.D.E. Houpa, T. E. Miamdjo, T.Y. Kouakep. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
D. D. E. Houpa, T. E. Miamdjo, T. Y. Kouakep, A model for hepatitis B disease with age-dependent susceptibility, J. Math. Comput. Sci. 4 (2014), 10–24.
BibTeX
@article{Houpa2014,
author = {Houpa, D.D.E. and Miamdjo, T. E. and Kouakep, T.Y.},
title = {A model for hepatitis B disease with age-dependent susceptibility},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {10--24},
doi = {}
}