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A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena

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Abstract

This study aims to analyze the dynamic behaviors of a stochastic SIRI epidemic model with nonlinear relapse under regime switching. We present the necessary conditions for both disease extinction and persistence, and determine the criteria for the existence of stationary distribution in our model during regime switching. Furthermore, we validate our theoretical findings through computer simulations. The results of this research can enhance our comprehension of epidemic models and assist in the development of effective disease control strategies.

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Data availability

The theoretical data used to support the findings of this study are included in the article.

Code Availability

The MATLAB code of the numerical simulation can be requested from corresponding author (Mr. Adil El Haitami).

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Acknowledgements

The authors express their gratitude to the editor, expert reviewers and editorial office for their comments and suggestions.

Funding

No funding was received for conducting this study.

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Authors and Affiliations

  1. Laboratory of mathematics and applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco

    Adil El Haitami, Adel Settati, Aadil Lahrouz, Mourad El Idrissi & Mhamed El Merzguioui

Authors
  1. Adil El Haitami
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  2. Adel Settati
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  3. Aadil Lahrouz
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  4. Mourad El Idrissi
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  5. Mhamed El Merzguioui
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Contributions

AEH took part in writing original draft, formal analysis, investigation, conceptualization, methodology, software. AS involved in methodology, investigation, writing review and editing. AL took part in methodology, investigation, writing review and editing. MEI involved in conceptualization, investigation, software. MEM took part in conceptualization, investigation, writing review and editing.

Corresponding author

Correspondence to Adil El Haitami.

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El Haitami, A., Settati, A., Lahrouz, A. et al. A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena. Int. J. Dynam. Control 12, 1287–1301 (2024). https://doi.org/10.1007/s40435-023-01256-9

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  • DOI: https://doi.org/10.1007/s40435-023-01256-9

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