Dynamical analysis of a stochastic delayed SIR epidemic model with vertical transmission and vaccination

被引：0
|
作者：
Xiaolei Zhang
Maoxing Liu
机构：
[1] North University of China,Department of Mathematics
来源：
Advances in Continuous and Discrete Models | / 2022卷
关键词：
Stochastic delayed SIR epidemic model; Temporary immunity; Vaccination; Persistence; Extinction; Threshold;
D O I：
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摘要：
In order to describe the dynamic process of epidemic transmission with vertical transmission and vaccination in more detail and to better track the factors that lead to the occurrence of epidemics, we construct a stochastic delayed model with a specific functional response to describe its epidemic dynamics. We first prove the existence and uniqueness of the positive solution of the model. Moreover, we analyze the sufficient conditions for the extinction and persistence of the model. Finally, numerical simulations are presented to illustrate our mathematical findings.
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