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

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 [Formula: see text]. 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.