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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Asymptotic dynamics, Basic reproductive number, Mathematical model, Numerical simulations, Stability

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Journal of Applied Mathematics and Computing, 71(1), 173-202, 2025

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