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

Jiying Ma; Wei Lin; Jiying Ma; Wei Lin

doi:10.3934/mbe.2022242

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 5: 5169-5189. doi: 10.3934/mbe.2022242

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

Jiying Ma ^,,
Wei Lin

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Academic Editor: Yun Kang

Received: 05 January 2022 Revised: 20 February 2022 Accepted: 03 March 2022 Published: 21 March 2022

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.
- COVID-19,
- asymptomatic infections,
- stochastic epidemic model,
- extinction,
- stationary distribution
Citation: Jiying Ma, Wei Lin. Dynamics of a stochastic COVID-19 epidemic model considering asymptomatic and isolated infected individuals[J]. Mathematical Biosciences and Engineering, 2022, 19(5): 5169-5189. doi: 10.3934/mbe.2022242

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Abstract

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.

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