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

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.

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Veröffentlicht in:Mathematics in computer science 2021-03, Vol.15 (1), p.91-105
Hauptverfasser: Sidi Ammi, Moulay Rchid, Tahiri, Mostafa, Torres, Delfim F. M.
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Mathematics
Mathematics and Statistics
Stability analysis
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Zusammenfassung: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.
ISSN:1661-8270
1661-8289
DOI:10.1007/s11786-020-00467-z