Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

2020/02/07 by Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
Mathematics · Medicine · #Applied mathematics #Computer science #Fractional Differential Equations Solutions #Geometry #Incidence (geometry) #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Differential Equations Analysis #Order (exchange) #Stability (learning theory) #math.DS #msc:26A33 #msc:34A08 #msc:92D30

paper · pdf · doi:10.1007/s11786-020-00467-z

published as Math. Comput. Sci. 15 (2021), no. 1, 91--105 · 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

arxiv created 2020/02/07 · openalex publication_date 2020/03/12 · arxiv updated 2021/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure
• Stability analysis of a virus dynamics model with general incidence rate and two delays
• A contribution to the mathematical theory of epidemics
• Fractional Differential Equations
• Fractional oscillator