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

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.

Bibliographic Details
Main Author: Ammi, Moulay Rchid Sidi (author)
Other Authors: Tahiri, Mostafa (author), Torres, Delfim F. M. (author)
Format: article
Language:eng
Published: 2021
Subjects:
Epidemiology
Mathematical modeling
Fractional calculus
Caputo derivatives
Equilibrium
Stability
Online Access:http://hdl.handle.net/10773/30986
Country:Portugal
Oai:oai:ria.ua.pt:10773/30986
Description
Summary: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.

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