Research ArticleNo Access

Modeling of COVID-19 using an SEIR model with a saturated incidence rate

Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia

E-mail Address: hanisnasir20@gmail.com

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https://doi.org/10.1142/S179355712250142XCited by:3 (Source: Crossref)

Abstract

Coronavirus disease 2019 (COVID-19) is a worldwide infectious disease and very contagious. A mathematical model using ordinary differential equations was introduced to study the dynamics of COVID-19. Local and global stability analysis was proved, which depends on the basic reproduction number $ℛ_{0}$ . The value of parameters was estimated using the COVID-19 outbreak in China. Based on the index sensitivity results, an optimal control problem was formulated to represent the implementation of a movement control order. Finally, it is numerically shown that the spread of COVID-19 can be smothered viably by implementing an optimal control strategy.

Communicated by B. K. Dass

Keywords:

AMSC: 92B05, 37N25, 37N35

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