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

2023/04/22 by Y. Mohamed, Mohamed, Y., A. Ahmedou +3
Mathematics · Medicine · #03H05 #34D08 #34D23 #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2304.12864

openalex publication_date 2023/04/22 · openalex created_date 2023/04/27 · openalex updated_date 2026/07/28

Abstract

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 mortality rates.

Related

• Global stability for SIR and SIRS models with differential mortality
• Lyapunov stability of an SIRS epidemic model with varying population
• GLOBAL stability for SIRS epidemic models with general incidence rate and tranfer from infectious to susceptible
• Bistability in a SIRS model with general nonmonotone and saturated incidence rate
• Two critical times for the SIR model