Analysis of a hybrid switching SVIR epidemic model with vaccination and Levy noise

被引：6

作者：

Cao, Zhongwei ^{[1
]}

Shi, Yuee ^{[2
]}

Wen, Xiangdan ^{[3
]}

Liu, Liya ^{[4
]}

Hu, Jingwei ^{[1
]}

机构：

[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130117, Jilin, Peoples R China

[2] First Hosp Jilin Univ, Dept Obstet & Gynecol, Changchun 130031, Jilin, Peoples R China

[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China

[4] China Univ Petr East China, Coll Sci, Qingdao 266580, Shandong, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 537卷

关键词：

SVIR epidemic model; Persistence and extinction; Positive recurrence; Markov switching and Levy noise; THRESHOLD BEHAVIOR; POPULATION; SYSTEMS; DYNAMICS; EQUATION;

D O I：

10.1016/j.physa.2019.122749

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the dynamical behavior of a hybrid switching SVIR epidemic model with vaccination and Levy noise. Besides a standard geometric Brownian motion, another two driving processes are considered: a stationary Poisson point process and a continuous time finite-state Markov chain. To begin with, we obtain sufficient conditions for persistence in the mean of the disease. Then we establish sufficient conditions for extinction of the disease. Furthermore, in the case of persistence, we also obtain sufficient conditions for the existence of positive recurrence of the solutions by constructing a suitable stochastic Lyapunov function with regime switching. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：17

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