Qualitative analysis of a fractional-order two-strain epidemic model with vaccination and general non-monotonic incidence rate.

Mohamed Yasser Sahnoune, Adil Ez-Zetouni, Khadija Akdim, Mehdi Zahid

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Article in International journal of dynamics and control, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Mohamed Yasser Sahnoune *Department of Mathematics, Faculty of Sciences and Technology, Cadi Ayyad University, PO Box 549, 40000 Marrakesh, Morocco.

Adil Ez-Zetouni *Department of Mathematics, Faculty of Sciences and Technology, Cadi Ayyad University, PO Box 549, 40000 Marrakesh, Morocco.ORCID 0000-0003-3825-9651

Khadija Akdim *Department of Mathematics, Faculty of Sciences and Technology, Cadi Ayyad University, PO Box 549, 40000 Marrakesh, Morocco.

Mehdi Zahid *Department of Mathematics, Faculty of Sciences and Technology, Cadi Ayyad University, PO Box 549, 40000 Marrakesh, Morocco.

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6 · The paper itself

Abstract

In this paper, a fractional-order two-strain epidemic model with vaccination and general non-monotonic incidence rate is analyzed. The studied problem is formulated using susceptible, infectious and recovered compartmental model. A Caputo fractional operator is incorporated in each compartment to describe the memory effect related to an epidemic evolution. First, the global existence, positivity and boundedness of solutions of the proposed model are proved. The basic reproduction numbers associated with studied problem are calculated. Four steady states are given, namely the disease-free equilibrium, the strain 1 endemic equilibrium, the strain 2 endemic equilibrium, and the endemic equilibrium associated with both strains. By considering appropriate Lyapunov functions, the global stability of the equilibrium points is proven according to the model parameters. Our modeling approach using a generalized non-monotonic incidence functions encloses a variety of fractional-order epidemic models existing in the literature. Finally, the theoretical findings are illustrated using numerical simulations.

Indexed as

Caputo derivativeGlobal stabilityNon-monotonic incidence functionTwo-strainVaccination

Identifiers

PMID36465981

DOI10.1007/s40435-022-01083-4

PMCPMC9685025

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