| 一类时滞网络病毒传播模型的Hopf分支 |
| |
| 引用本文： | 宋 磊,王春雷.一类时滞网络病毒传播模型的Hopf分支[J].计算机与现代化,2016,0(11):79. |
| |
| 作者姓名： | 宋 磊 王春雷 |
| |
| 基金项目： | 湖北医药学院研究生启动基金资助项目（2011QDZR-24） |
| |
| 摘 要： | 考虑到杀毒软件查杀病毒需要一定的时间周期，以及免疫主机对网络病毒的临时免疫力，本文基于SIQR网络病毒传播模型提出一类时滞SIQRS网络病毒传播模型。以杀毒软件查杀病毒需要一定的时间周期时滞为分支参数，通过分析相应特征方程根的分布，得到模型有病毒平衡点局部渐近稳定和产生Hopf分支的充分条件。给出一个仿真示例，对理论分析结果的正确性进行了验证。
|
| 关 键 词： | 时滞 Hopf分支 SIQRS模型 稳定性 |
| 收稿时间： | 2016-11-23 |
Hopf Bifurcation of Delayed Computer Virus Propagation Model |
| |
| SONG Lei,WANG Chun-lei.Hopf Bifurcation of Delayed Computer Virus Propagation Model[J].Computer and Modernization,2016,0(11):79. |
| |
| Authors: | SONG Lei WANG Chun-lei |
| |
| Abstract: | Considering that anti-virus software needs a period to clean viruses and there is a temporary immunity for the recovered computers, a delayed computer virus propagation model based on the SIQR computer virus propagation model is proposed. Sufficient conditions for local stability of the positive equilibrium and occurrence of a Hopf bifurcation are obtained by regarding the delay as a bifurcation parameter and analyzing the distribution of the roots of the associated characteristic equation. Finally, a numerical simulation example is carried out to support the theoretical predictions. |
| |
| Keywords: | delay Hopf bifurcation SIQRS model stability |
|
| 点击此处可从《计算机与现代化》浏览原始摘要信息 |
|
点击此处可从《计算机与现代化》下载全文 |
