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Research Article | Open Access

Extinction and permanence of a general non-autonomous discrete-time SIRS epidemic model

Butsayapat Chaihao, Sujin Khomrutai( )
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
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Abstract

We investigate a non-autonomous discrete-time SIRS epidemic model with nonlinear incidence rate and distributed delays combined with a nonlinear recovery rate taken into account the impact of health care resources. Two threshold parameters R 0 , R ∞ are obtained so that the disease dies out when R 0 < 1; and the infective persists indefinitely when R ∞ > 1.

Keywords

non-autonomous SIRS modelthreshold parametersextinctionpermanencenumber of hospital beds
CLC number: 34D05, 34D23, 92D30

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9624-9646
DOI: 10.3934/math.2023486

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Cite this article:
Chaihao B, Khomrutai S. Extinction and permanence of a general non-autonomous discrete-time SIRS epidemic model. AIMS Mathematics, 2023, 8(4): 9624-9646. https://doi.org/10.3934/math.2023486

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Received: 07 November 2022
Revised: 05 February 2023
Accepted: 06 February 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)