Dynamical analysis of a fractional SIRS model on homogenous networks

Abstract

Abstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R01 $R_{0}>1\ $ (the disease is uniformly persistent). The main results are demonstrated by numerical simulation.

Keywords

• Fractional order SIRS model
• Homogenous network
• Local stability
• Global stability
• Numerical solutions