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ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

A Model for Hepatitis B with Chronological and Infection Ages

T Y Kouakep1*, A Ducroty2 and Houpa D D E3

1Ngaoundere University, PO Box 454 Ndang, Ngaoundere, Cameroon

2Universite Bordeaux Segalen, UFR Sciences et Modelisation, 3 ter place de la Victoire, Bat. D, 2eme etage, 33076 Bordeaux Cedex, France

3Ngaoundere University, PO Box 454 Ndang, Ngaoundere, Cameroon

*Corresponding Author:
T Y Kouakep
Ngaoundere University
PO Box 454 Ndang
Ngaoundere, Cameroon
Tel: 237 22 25 40 40
E-mail: [email protected]

Received July 26, 2013; Accepted December 04, 2013; Published December 23, 2013

Citation: Kouakep TY, Ducroty A, Houpa DDE (2013) A Model for Hepatitis B with Chronological and Infection Ages. J Appl Computat Math 3: 148. doi: 10.4172/2168-9679.1000148

Copyright: © 2013 Kouakep TY, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

We construct and study a differential infectivity model with chronological and infection age. The application is done on hepatitis B in Cameroon. We prove the global stability of the disease free equilibrium when the basic reproduction ratio R0 is less than one and the existence and uniqueness of an endemic equilibrium when R0>1 .

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