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Mathematical modeling and stability of SARS-CoV-2 transmission dynamics among domestic tourists in Thailand

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Abstract

The defined epidemiological model system explaining the spread of infectious diseases characterized with SARS-CoV-2 is analysed. The resulting SEIQR model is analysed in a closed system. It considers the basic reproductive value, the equilibrium point, local subclinical stability of the disease-free equilibrium point and local subclinical stability of the endemic equilibrium point. This is examined and the asymptotic dynamics of the appropriate model system are investigated. Further, a sensitivity analysis supplemented by simulations is prepared in advance to impose how changes in parameters involve the dynamic behaviours of the model.

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Acknowledgements

The authors thank the handling editor and anonymous referees for their valuable comments and suggestions which led to an improvement of our original paper. The first author would like to thank Research and Development Institute and Faculty of Science and Technology, Phuket Rajabhat University. The second author was supported by King Mongkut’s Institute of Technology Ladkrabang.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Phuket Rajabhat University, Phuket, Thailand

    Rattiya Sungchasit

  2. Department of Mathematics, School of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

    Puntani Pongsumpun

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  1. Rattiya Sungchasit
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  2. Puntani Pongsumpun
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Correspondence to Puntani Pongsumpun.

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Sungchasit, R., Pongsumpun, P. Mathematical modeling and stability of SARS-CoV-2 transmission dynamics among domestic tourists in Thailand. J. Appl. Math. Comput. 71, 173–202 (2025). https://doi.org/10.1007/s12190-024-02228-8

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  • DOI: https://doi.org/10.1007/s12190-024-02228-8

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