English

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

Dynamical Systems 2021-03-23 v1

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.

Keywords

Cite

@article{arxiv.2002.02560,
  title  = {Global stability of a Caputo fractional SIRS model with general incidence rate},
  author = {Moulay Rchid Sidi Ammi and Mostafa Tahiri and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:2002.02560},
  year   = {2021}
}

Comments

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