Disease Control in Age Structure Population. (22nd October 2012)

• Record Type: Journal Article
• Authors: Kouokam, Etienne; Zucker, Jean-Daniel; Fondjo, Franklin; Choisy, Marc
• Other Names: Maylahn C. M. Academic Editor.; Raynes-Greenow C. Academic Editor.; Stevenson M. Academic Editor.
• Is Part Of: ISRN epidemiology. Volume 2013(2013)
• Publication Date: 2012-10-22
• Subjects: Epidemiology -- Periodicals; 614.4
• DOI: 10.5402/2013/703230
• Languages: English
• ISSNs: 2090-942X

Abstract

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 R 0 . Under certain conditions, when R 0 < 1, there is a disease-free equilibrium that is locally asymptotically stable. In contrast, when R 0 > 1, 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.