Stochastic virus infection model with Ornstein–Uhlenbeck perturbation: Extinction and stationary distribution analysis
Zhongwei Cao,
Chenguang Guo,
Zhenfeng Shi
et al.
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 extincti… Show more
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