Stochastic analysis of a SIRI epidemic model with Beddington-DeAngelis incidence rate and relapse

Brahim Boukanjime; Mohamed El Fatini; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 85

Stochastic analysis of a SIRI epidemic model with Beddington-DeAngelis incidence rate and relapse

Brahim Boukanjime, Mohamed El Fatini

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Jan 22, 2019	Feb 26, 2019	Mar 01, 2019

Abstract: In this paper, we study a stochastic SIRI epidemic model with Beddington-DeAngelis incidence rate and relapse. We establish the uniqueness of the positive solution and we investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of deterministic model. Furthermore, we present some numerical results to support the theoretical work.