Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms

被引：3
|
作者：
Zhao, Tao [1 ]
Bi, Dianjie [1 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu 233030, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷
关键词：
PROPAGATION MODEL; MALICIOUS OBJECTS; TIME-DELAY; TRANSMISSION;
D O I：
10.1155/2017/9563862
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A delayed SEIQRS worm propagation model with different infection rates for the exposed computers and the infectious computers is investigated in this paper. The results are given in terms of the local stability and Hopf bifurcation. Sufficient conditions for the local stability and the existence of Hopf bifurcation are obtained by using eigenvalue method and choosing the delay as the bifurcation parameter. In particular, the direction and the stability of the Hopf bifurcation are investigated by means of the normal form theory and center manifold theorem. Finally, a numerical example is also presented to support the obtained theoretical results.
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页数：10
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