Threshold behaviour of a triple-delay SIQR stochastic epidemic model with Le?vy noise perturbation

被引：5

作者：

Liu, Yubo ^{[1
]}

Kuang, Daipeng ^{[1
]}

Li, Jianli ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 09期

关键词：

threshold; Le?vy jumps; delay; persistence; extinction; DYNAMICAL BEHAVIOR; FUNCTIONAL-RESPONSE; PERMANENCE; EXTINCTION; VACCINATION; PERSISTENCE; STABILITY;

D O I：

10.3934/math.2022903

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the dynamical behavior of a delayed SIQR stochastic epidemic model with Le ' vy noise is presented and studied. First, we prove the existence and uniqueness of positive solution. Then, we establish the threshold Rl0 as a sufficient condition for the extinction and persistence in mean of the disease. Finally, some numerical simulations are presented to support our theoretical results and we infer that the white and Le ' vy noises affect the transmission dynamics of the system.

引用

页码：16498 / 16518

页数：21

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