A Stochastic Model with Optimal Control Strategy of the Transmission of Covid-19

ABSTRACT

In this work, a stochastic differential equation model about the novel Coronavirus 2019 (COVID-19) is introduced to describe the transmission dynamics of that disease among the susceptible person. By taking the social distance, musk wearing, and other human behavior as a control strategy and introducing an objective function which both considers the limitation of social distance and minimizes the infection population, an optimal control strategy is given numerically. This result gives a new numerical method to simulate the epidemic model and make a new insight into the control strategy choice of the pandemic control under the environments and conditions of different countries. © 2021 IEEE.