Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network | Zendy

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Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network

Author(s) -

Juan Liu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/492198

Subject(s) - center manifold , hopf bifurcation , bifurcation , stability (learning theory) , mathematics , transmission (telecommunications) , saddle node bifurcation , epidemic model , control theory (sociology) , topology (electrical circuits) , mathematical analysis , computer science , physics , artificial intelligence , combinatorics , telecommunications , nonlinear system , population , demography , control (management) , quantum mechanics , machine learning , sociology

A delayed SEIQRS model for the transmission of malicious objects in computer network is considered in this paper. Local stability of the positive equilibrium of the model and existence of local Hopf bifurcation are investigated by regarding the time delay due to the temporary immunity period after which a recovered computer may be infected again. Further, the properties of the Hopf bifurcation are studied by using the normal form method and center manifold theorem. Numerical simulations are also presented to support the theoretical results

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