Threshold behaviour of a triple-delay SIQR stochastic epidemic model with Lévy noise perturbation

AIMS Mathematics

article

Yubo Liu¹  Daipeng Kuang¹  Jianli Li¹ 

[1] College of Mathematics and Statistics, Hunan Normal University

关键词: threshold;    Lévy jumps;    delay;    persistence;    extinction;   

DOI  :  10.3934/math.2022903

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, the dynamical behavior of a delayed SIQR stochastic epidemic model with Lévy noise is presented and studied. First, we prove the existence and uniqueness of positive solution. Then, we establish the threshold $ R_0^l $ 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 Lévy noises affect the transmission dynamics of the system.

【 授权许可】

CC BY