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.