Bifurcation analysis in a delayed computer virus model with the effect of external computers

Advances in Difference Equations

Zizhen Zhang¹  Dianjie Bi¹ 

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

关键词: computer virus propagation model;    delay;    Hopf bifurcation;    stability;   

DOI  :  10.1186/s13662-015-0652-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A delayed Susceptible-Infected-External (SIE) computer virus propagation model is investigated in the present paper. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Furthermore, some explicit formulae for determining the stability and the direction of the Hopf bifurcation are derived by using the normal form theory and the center manifold theorem. Finally, numerical simulations are carried out to support the theoretical predictions.

【 授权许可】

CC BY