Table of Contents
ISRN Epidemiology
Volume 2013 (2013), Article ID 703230, 8 pages
http://dx.doi.org/10.5402/2013/703230
Research Article

Disease Control in Age Structure Population

1Department of Computer Science, University of Yaounde I, UMI 209, UMMISCO, P.O. Box 337, Yaounde, Cameroon
2Institut de la Francophonie pour l’Informatique, UMI 209, UMMISCO, Hanoi, Vietnam, IRD, 32 Avenue Henri Varagnat, 93143 Bondy Cedex, Vietnam
3Department of Technology, Langston University, Langston, OK 73050-1500, USA
4GEMI, UMR CNRS-IRD 2724, Centre IRD, 911 Avenue Agropolis, BP 64501 Paris, France

Received 30 July 2012; Accepted 1 October 2012

Academic Editors: C. M. Maylahn, C. Raynes-Greenow, and M. Stevenson

Copyright © 2013 Etienne Kouokam et al. 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.

Abstract

We combine the Leslie model and its derivatives with the classical compartmental SIRS models to build a model of transmission of infected diseases, in a population of hosts, whether opened or closed systems. We calculate the basic reproductive rate R0. Under certain conditions, when , there is a disease-free equilibrium that is locally asymptotically stable. In contrast, when , this equilibrium is unstable. Then, through an example, we show how we can define public health strategies to tackle an endemic. Finally we carry a global sensitivity analysis based on this basic reproduction rate to exhibit the most influential parameters of our model that are applied to influenza.