Abstract             

In this paper, we propose a fractional SIRS model with homogenous networks. The
disease-free equilibrium point E0 is locally and globally asymptotically stable for R0 < 1
(the disease always disappears), and endemic equilibrium point E1 is uniquely locally
and globally asymptotically stable, but E0 is unstable for R0 > 1 (the disease is
.uniformly persistent). The main results are demonstrated by numerical simulation