Hopf bifurcation of a computer virus spreading model in the network with limited anti-virus ability

Advances in Difference Equations

Dianjie Bi¹  Tao Zhao¹ 

[1] School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, China

关键词: bifurcation;    computer virus;    SEIR model;    periodic solutions;    stability;   

DOI  :  10.1186/s13662-017-1243-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A delayed computer virus spreading model in the network with limited anti-virus ability is proposed in the present paper. Local stability and the existence of a Hopf bifurcation are proved by taking the time delay as the bifurcation parameter and analyzing the distribution of the roots of the corresponding characteristic equation. Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem. Finally, a numerical example is presented to demonstrate our obtained results.

【 授权许可】

CC BY