Hopf bifurcation of a computer virus propagation model with two delays and infectivity in latent period

被引：7
|
作者：
Zhao, Tao [1 ]
Wei, Sulin [1 ]
Bi, Dianjie [1 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu, Peoples R China
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2018年 / 6卷 / 01期
关键词：
Computer viruses propagation; modelling; delays; Hopf bifurcation; stability;
D O I：
10.1080/21642583.2018.1453885
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a computer virus propagation model with two delays and infectivity in latent period is investigated. First, the conditions which guarantee the local stability of the positive equilibrium and the existence of the Hopf bifurcation are derived by choosing the different combination of the two delays as the bifurcation parameter. Moreover, some specific properties for determining the stability and direction of the Hopf bifurcation are obtained by employing the normal form theory and the centre manifold theorem. Finally, a numerical simulation is carried out to verify the correctness of our obtained theoretical analysis.
引用
收藏
页码：90 / 101
页数：12
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