期刊
APPLIED MATHEMATICS LETTERS
卷 129, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.107931
关键词
Stochastic SIR model; Distributed delay; Lyapunov function; Stationary distribution; Density function
资金
- NSFC of China [11871473]
- Shandong Provincial Natural Science Foundation, China [ZR2019MA006, ZR202102250288]
- Fundamental Research Funds for the Central Universities China [19CX02055A]
In this paper, a stochastic SIR model with strong kernel is transformed into an equivalent high-dimensional stochastic system. The stationary distribution of the model with white noise is obtained by constructing a suitable Lyapunov function, which determines a critical value corresponding to the control reproduction number of the corresponding determined system. Furthermore, an exact local expression of the density function of the stochastic model around the unique quasi-equilibrium is derived.
In this paper, we first transfer a stochastic SIR model with strong kernel into an equivalent high-dimensional stochastic system. Then the stationary distribution of the model with the white noises is obtained by constructing a suitable Lyapunov function, which determines a critical value R* corresponding to the control reproduction number R-0 of the corresponding determined system. Particularly, we obtain an exact local expression of the density function of the stochastic model around the unique quasi-equilibrium. (C) 2022 Elsevier Ltd. All rights reserved.
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