Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals

Abstract

<abstract><p>Coronavirus disease (COVID-19) has a strong influence on the global public health and economics since the outbreak in $ 2020 $. In this paper, we study a stochastic high-dimensional COVID-19 epidemic model which considers asymptomatic and isolated infected individuals. Firstly we prove the existence and uniqueness for positive solution to the stochastic model. Then we obtain the conditions on the extinction of the disease as well as the existence of stationary distribution. It shows that the noise intensity conducted on the asymptomatic infections and infected with symptoms plays an important role in the disease control. Finally numerical simulation is carried out to illustrate the theoretical results, and it is compared with the real data of India.</p></abstract>