Dynamical analysis of a fractional SIRS model on homogenous networks

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