Stability analysis of SIR and SIRS models with non monotone incidence function and various mortality rates

Y. Mohamed, A. Ahmedou, M. S. B. Elemine Vall

This study uses the Lyapunov method, the Poincaré-Bendixson theorem, and the Dulac criterion to analyze the stability of SIR and SIRS with non-monotone incidence and different mort…