期刊名称：IAENG International Journal of Computer Science
印刷版ISSN：1819-656X
电子版ISSN：1819-9224
出版年度：2020
卷号：47
期号：3
语种：English
出版社：IAENG - International Association of Engineers
摘要：This paper is concerned with the Hopf bifurcation of a delayed SEIQR (Susceptible-Exposed-InfectiousQuarantined-Recovered) worm propagation model in mobile internet. Firstly, a distinct set of conditions that ensures existence of the Hopf bifurcation are derived by analyzing the roots of the associated characteristic equation and regarding the delay as a bifurcation parameter. Secondly, the normal form theory and the center manifold theorem are employed to determine direction of the Hopf bifurcation and stability of the bifurcating periodic solutions. Finally, some numerical simulations are presented to illustrate the theoretical results.
