Ergodic stationary distribution of stochastic virus mutation model with time delay

Juan Ma; Shaojuan Ma; Xinyu Bai; Jinhua Ran; Juan Ma; Shaojuan Ma; Xinyu Bai; Jinhua Ran

doi:10.3934/math.20231089

AIMS Mathematics

2023, Volume 8, Issue 9: 21371-21392. doi: 10.3934/math.20231089

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Research article

Ergodic stationary distribution of stochastic virus mutation model with time delay

1.
School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China
2.
Ningxia Key Laboratory of Intelligent Information and Big Data Processing, Yinchuan 750021, China

Received: 02 May 2023 Revised: 14 June 2023 Accepted: 19 June 2023 Published: 05 July 2023
MSC : 60H10, 92B05, 92D30

The virus mutation can increase the complexity of the infectious disease. In this paper, the dynamical characteristics of the virus mutation model are discussed. First, we built a stochastic virus mutation model with time delay. Second, the existence and uniqueness of global positive solutions for the proposed model is proved. Third, based on the analysis of the ergodic stationary distribution for the model, we discuss the influence mechanism between the different factors. Finally, the numerical simulation verifies the theoretical results.
- ergodic stationary distribution,
- time delay,
- virus mutation,
- noise,
- infectious disease
Citation: Juan Ma, Shaojuan Ma, Xinyu Bai, Jinhua Ran. Ergodic stationary distribution of stochastic virus mutation model with time delay[J]. AIMS Mathematics, 2023, 8(9): 21371-21392. doi: 10.3934/math.20231089

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Abstract

The virus mutation can increase the complexity of the infectious disease. In this paper, the dynamical characteristics of the virus mutation model are discussed. First, we built a stochastic virus mutation model with time delay. Second, the existence and uniqueness of global positive solutions for the proposed model is proved. Third, based on the analysis of the ergodic stationary distribution for the model, we discuss the influence mechanism between the different factors. Finally, the numerical simulation verifies the theoretical results.

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