Cooperative system analysis of the Ebola virus epidemic model

Karima Kabli; Soumia El Moujaddid; Khadija Niri; Abdessamad Tridane

doi:10.1016/j.idm.2018.09.004

Cooperative system analysis of the Ebola virus epidemic model

Infect Dis Model. 2018 Sep 22:3:145-159. doi: 10.1016/j.idm.2018.09.004. eCollection 2018.

Authors

Karima Kabli¹, Soumia El Moujaddid¹, Khadija Niri¹, Abdessamad Tridane²

Affiliations

¹ Department of Mathematics and Computing, Ain Chock Science Faculty, Hassan II University, Casablanca, Morocco.
² Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates.

Abstract

This paper aims to study the global stability of an Ebola virus epidemic model. Although this epidemic ended in September 2015, it devastated several West African countries and mobilized the international community. With the recent cases of Ebola in the Democratic Republic of the Congo (DRC), the threat of the reappearance of this fatal disease remains. Therefore, we are obligated to be prepared for a possible re-emerging of the disease. In this work, we investigate the global stability analysis via the theory of cooperative systems, and we determine the conditions that lead to global stability diseases free and endemic equilibrium.

Keywords: Basic reproduction number; Cooperative systems; Ebola virus; Global stability; Varying population size.