Dynamical behavior of computer virus on Internet

被引：154
作者：
Han, Xie
Tan, Qiulin [1 ]
机构：
[1] N Univ China, Natl Key Lab Elect Measurement Technol, Taiyuan 030051, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期
关键词：
Computer virus; Time delay; Global stability; INFECTION; MODEL;
D O I：
10.1016/j.amc.2010.07.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we presented a computer virus model using an SIRS model and the threshold value R(0) determining whether the disease dies out is obtained. If R0 is less than one, the disease-free equilibrium is globally asymptotically stable. By using the time delay as a bifurcation parameter, the local stability and Hopf bifurcation for the endemic state is investigated. Numerical results demonstrate that the system has periodic solution when time delay is larger than a critical values. The obtained results may provide some new insight to prevent the computer virus. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：2520 / 2526
页数：7
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