STOCHASTIC SIRS MODEL DRIVEN BY LVY NOISE

被引：1

作者：

张向华 ^{[1
]}

陈芙 ^{[2
]}

王克 ^{[3
]}

杜红 ^{[1
]}

机构：

[1] College of Science,Heilongjiang University of Science and Technology

[2] College of Humanities and Law,Northeast Agricultural University

[3] Department of Mathematics,Harbin Institute of Technology

来源：

Acta Mathematica Scientia | 2016年 / 36卷 / 03期

关键词：

jumps; stochastically stable; SIRS model; network virus;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程]; TP393.08 [];

学科分类号：

070104 ; 0839 ; 1402 ;

摘要：

The paper establishes two stochastic SIRS models with jumps to describe the spread of network virus by cyber war,terrorism and others.First,adding random perturbations proportionally to each variable,we get the dynamic properties around the positive equilibrium of the deterministic model and the conditions for persistence and extinction.Second,giving a random disturbance to endemic equilibrium,we get a stochastic system with jumps.By modifying the existing Lyapunov function,we prove the positive solution of the system is stochastically stable.

引用

页码：740 / 752

页数：13

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