Stationary distribution of a stochastic epidemic model with distributed delay under regime switching

This paper aims to analyze the dynamic behavior of a novel stochastic epidemic model (SEM) that incorporates distributed delay and time switching. We prove the existence and uniqueness of a global positive solution and establish the presence of ergodic stationary distribution (ESD) through the const...

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2024-02, Vol.70 (1), p.789-808
Main Authors: Chen, Shengshuang, Guo, Yingxin, Zhang, Chuan
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Epidemics
Liapunov functions
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Stochastic models
Theory of Computation
White noise
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Summary:This paper aims to analyze the dynamic behavior of a novel stochastic epidemic model (SEM) that incorporates distributed delay and time switching. We prove the existence and uniqueness of a global positive solution and establish the presence of ergodic stationary distribution (ESD) through the construction of appropriate Lyapunov functions. The threshold R 0 S derived from our analysis plays a vital role in this procedure. Additionally, we conduct computer simulations to validate our theoretical discoveries, demonstrating that the incorporation of white noise can induce random fluctuations in the system variables under time switching.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-024-01985-w