Global stability of a Caputo fractional SIRS model with general incidence rate

Abstract

We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a unique positive solution to the model is proved. Stability analysis of the disease free equilibrium and positive fixed points are investigated. Finally, a numerical example is presented.

This is a preprint of a paper whose final and definite form is with 'Math. Comput. Sci.', ISSN 1661-8270 (print), ISSN 1661-8289 (electronic), available at [https://www.springer.com/journal/11786]. Submitted 1-Jun-2019; Revised 5-Feb-2020; Accepted 6-Feb-2020