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- Title
Stochastic virus infection model with Ornstein–Uhlenbeck perturbation: Extinction and stationary distribution analysis.
- Authors
Cao, Zhongwei; Guo, Chenguang; Shi, Zhenfeng; Song, Zhifei; Zu, Li
- Abstract
In this paper, we propose a stochastic virus infection model with nonlytic immune response, where the transmission rate is realistically modeled as being subject to continuous fluctuations, represented by the Ornstein–Uhlenbeck process. Firstly, we establish the existence and uniqueness of the global solution for the stochastic model and its invariant set, ensuring the robustness and applicability of model. Next, by constructing appropriate Lyapunov functions, we derive sufficient conditions for virus extinction and the existence of a stationary distribution for the stochastic model. These conditions elucidate the key dynamic behaviors, such as extinction and persistence, within the stochastic framework.
- Subjects
VIRUS diseases; ORNSTEIN-Uhlenbeck process; INVARIANT sets; LYAPUNOV functions; STOCHASTIC models
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 9, p7156
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9961