Open AccessDynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals
Author(s) -
Jiying Ma,
Wei Lin
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022242
Subject(s) - asymptomatic , covid-19 , outbreak , uniqueness , epidemic model , extinction (optical mineralogy) , disease , environmental noise , stochastic modelling , noise (video) , public health , mathematics , econometrics , medicine , virology , computer science , environmental health , infectious disease (medical specialty) , statistics , biology , population , physics , mathematical analysis , artificial intelligence , acoustics , paleontology , nursing , sound (geography) , image (mathematics)
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.