STABILITY OF STOCHASTIC HEROIN MODEL WITH TWO DISTRIBUTED DELAYS

被引：12

作者：

Jovanovic, Miljana ^{[1
]}

Vujovic, Vuk ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 07期

关键词：

Distributed delay; heroin free equilibrium; heroin spread equilibrium; Lyapunov functional; mean square stability; EPIDEMIC MODEL; GLOBAL STABILITY;

D O I：

10.3934/dcdsb.2020016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a stability of stochastic heroin model with two distributed delays is studied. Precisely, the deterministic model for dynamics of heroin users is extended by random perturbation that briefly describe how a environmental fluctuations lead an individual to become a heroin user. By using a suitable Lyapunov function stability conditions for heroin use free equilibrium are obtained. Furthermore, asymptotic behavior around the heroin spread equilibrium of the deterministic model is investigated by using appropriate Lyapunov functional. Theoretical studies, based on real data, are applied on modeling of number of heroin users in the USA from 01.01.2014.

引用

页码：2407 / 2432

页数：26

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