Threshold behaviour of a stochastic epidemic model with two-dimensional noises

被引：0
|
作者：
El Fatini, M. [1 ]
Taki, R. [1 ]
Tridane, A. [2 ]
机构：
[1] Ibn Tofail Univ, Dept Math, Kenitra, Morocco
[2] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 524卷
关键词：
Epidemic model; Stochastic process; Instability stochastic; Lyapunov function; Persistence in mean; Extinction; ASYMPTOTIC STABILITY; MATHEMATICAL-THEORY; SIR MODEL; PERMANENCE; EXTINCTION; DYNAMICS;
D O I：
10.1016/j.physa.2019.04.224
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The aim of this work is to study a new stochastic SIR epidemic model that includes two types of white noises. These noises perturb two important parameters in the disease dynamic: the disease transmission rate and the recovery rate. By means of the Lyapunov functions, we prove the global existence and positivity of the solution. We also investigate the conditions of the extinction and the persistence of the disease and use a suitable Lyapunov function to study the stability of the model. Numerical simulations of our result are also presented. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：776 / 786
页数：11
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