ASYMPTOTIC BEHAVIORS OF A HEROIN EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE INFLUENCED BY STOCHASTIC PERTURBATIONS

被引：2

作者：

Wei, Yongchang ^{[1
]}

Zhan, Jinxiang ^{[1
]}

Guo, Jinhai ^{[1
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Hubei, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Heroin epidemic model; persistence in the mean; positive recur- rence; Levy noises; EXTINCTION; STABILITY; PERSISTENCE; DYNAMICS;

D O I：

10.11948/20230323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the dynamical behaviors of a stochastic heroin epidemic model with Levy noises is investigated. First, we prove that this system has a unique global positive solution. Second, we derive the conditions of persistence in the mean and asymptotic stability in mean square using the Lyapunov and inequalities technique, and establish a criterion for positive recurrence. The results show that asymptotic behaviors are closely related to the Levy measure. Finally, numerical simulations are used to illustrate the theoretical results.

引用

页码：1060 / 1077

页数：18

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