Dynamic analysis of stochastic virus infection model with delay effect

被引：5
|
作者：
Li, Dongxi [1 ]
Zhao, Yue [2 ]
Song, Shuling [2 ]
机构：
[1] Taiyuan Univ Technol, Coll Data Sci, Taiyuan 030024, Shanxi, Peoples R China
[2] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 528卷
基金：
中国国家自然科学基金;
关键词：
Virus infection model; Delay effect; Extinction; Persistence; GLOBAL ASYMPTOTIC STABILITY; IMMUNE-RESPONSES; EPIDEMIC MODEL; PERSISTENCE; SYSTEM; EXTINCTION; NOISE;
D O I：
10.1016/j.physa.2019.121463
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper mainly investigates the dynamic behavior of virus infection model with delay effect influenced by external noise. First, a mathematical model describing the evolution of virus under the influences of stochastic noise and delay effect is developed. And necessary conditions for extinction and weak persistence are derived by Ito's formula. A new basic reproduction number (R) over tilde (0) for virus infection model with delay effect to determine whether extinction or persistence is given. It is found that the delay parameter tau affects the new basic reproduction number (R) over tilde (0), and the behavior of extinction and survival of virus. Besides, the threshold for extinction of stochastic model is smaller than the one of deterministic model. In the end, stochastic simulations are applied to illustrate and test the theoretical conclusions. (C) 2019 Elsevier B.V. All rights reserved.
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页数：15
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