Abstract：This paper is devoted to Hopf bifurcation of a delayed SVEIR model with partial immunization that describes worms propagation on internet. Sufficient conditions for existence of Hopf bifurcation are obtained by considering the latent period time delay of worms as the bifurcation parameter. Properties of Hopf bifurcation are then investigated with the help of the normal form theory and the center manifold theorem. Numerical simulations show that worms propagation in internet can be controlled and eliminated by shortening the time delay.
作者简介: ZHANG Zizhen(1982-), ORCID:http://orcid-org/0000-0002-2879-4434,male, doctor, lecture, the fields of interest include the network security and the dynamical system, E-mail: zhangzizhen0120@163.com.
引用本文:
张子振, 毕殿杰, 赵涛. 一类具有临时免疫的时滞蠕虫传播模型的Hopf分支[J]. 浙江大学学报（理学版）, 2016, 43(3): 279-285.
ZHANG Zizhen, BI Dianjie, ZHAO Tao. Delay induced Hopf bifurcation in a worm propagation model with partial immunization. Journal of ZheJIang University(Science Edition), 2016, 43(3): 279-285.
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2016, Vol. 43 
