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Research Article | Open Access

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

Yubo Liu, Daipeng Kuang, Jianli Li( )
College of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, China
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Abstract

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.

Keywords

thresholdLévy jumpsdelaypersistenceextinction
CLC number: 37A50, 37H10, 37N25, 74A15

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16498-16518
DOI: 10.3934/math.2022903

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Cite this article:
Liu Y, Kuang D, Li J. Threshold behaviour of a triple-delay SIQR stochastic epidemic model with Lévy noise perturbation. AIMS Mathematics, 2022, 7(9): 16498-16518. https://doi.org/10.3934/math.2022903

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Received: 11 March 2022
Revised: 03 July 2022
Accepted: 05 July 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)