1. Mathematical model of COVID-19 transmission using the fractional-order differential equation.
- Author
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Hamdan, Nur 'Izzati and Kechil, Seripah Awang
- Subjects
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DIFFERENTIAL equations , *BASIC reproduction number , *MATHEMATICAL models , *COVID-19 , *COVID-19 pandemic , *LOTKA-Volterra equations , *GLOBAL analysis (Mathematics) - Abstract
The purpose of this paper is to develop the Coronavirus disease (COVID-19) transmission model using the fractional-order differential equation defined by Caputo. This model is developed based on the susceptible-exposed-infected-recovered model, commonly known as the SEIR model. The basic reproduction number, denoted by R0, is computed using the next-generation matrix method. The disease-free equilibrium point is evaluated, and local stability analysis is performed. The analysis shows that the disease-free equilibrium is locally asymptotically stable when R0<1 and unstable when R0>1. In other words, the COVID-19 disease can be eliminated when R0< 1. Finally, numerical results are presented based on the real data of COVID-19 cases in Malaysia. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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