Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022242?viewType=HTML |
| _version_ | 1828404430845771776 |
|---|---|
| author | Jiying Ma Wei Lin |
| author_facet | Jiying Ma Wei Lin |
| author_sort | Jiying Ma |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T10:36:14Z |
| format | Article |
| id | doaj.art-9a46e8120a7b431a86ecac97504116a8 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-10T10:36:14Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-9a46e8120a7b431a86ecac97504116a82022-12-22T01:52:26ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-03-011955169518910.3934/mbe.2022242Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individualsJiying Ma0Wei Lin1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCollege of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCoronavirus 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.https://www.aimspress.com/article/doi/10.3934/mbe.2022242?viewType=HTMLcovid-19asymptomatic infectionsstochastic epidemic modelextinctionstationary distribution |
| spellingShingle | Jiying Ma Wei Lin Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals Mathematical Biosciences and Engineering covid-19 asymptomatic infections stochastic epidemic model extinction stationary distribution |
| title | Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals |
| title_full | Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals |
| title_fullStr | Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals |
| title_full_unstemmed | Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals |
| title_short | Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals |
| title_sort | dynamics of a stochastic covid 19 epidemic model considering asymptomatic and isolated infected individuals |
| topic | covid-19 asymptomatic infections stochastic epidemic model extinction stationary distribution |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022242?viewType=HTML |
| work_keys_str_mv | AT jiyingma dynamicsofastochasticcovid19epidemicmodelconsideringasymptomaticandisolatedinfectedindividuals AT weilin dynamicsofastochasticcovid19epidemicmodelconsideringasymptomaticandisolatedinfectedindividuals |