Research Communication | Open Access
Volume 2020 | Communication ID 34 |

Global Asymptotic Stability of a Generalized SEIRI Epidemic Model

Amine Bernoussi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
06 December 2019
21 December 2019
10 March 2020

Abstract: In this paper we propose the global dynamics of an SEIRI epidemic model with a general nonlinear incidence function. The model is based on the susceptible-exposed-infective-recovered (SEIR) compartmental structure with relapse (SEIRI). Sufficient conditions for the local and global stability of equilibria (the disease-free equilibrium and the endemic equilibrium) are obtained by means of Routh-Hurwitz criterion and Lyapunov-LaSalle theorem.