Hopf bifurcation of a computer virus spreading model in the network with limited anti-virus abilityReport as inadecuate




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Advances in Difference Equations

, 2017:183

First Online: 27 June 2017Received: 05 April 2017Accepted: 13 June 2017

Abstract

A delayed computer virus spreading model in the network with limited anti-virus ability is proposed in the present paper. Local stability and the existence of a Hopf bifurcation are proved by taking the time delay as the bifurcation parameter and analyzing the distribution of the roots of the corresponding characteristic equation. Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem. Finally, a numerical example is presented to demonstrate our obtained results.

Keywordsbifurcation computer virus SEIR model periodic solutions stability  Download fulltext PDF



Author: Tao Zhao - Dianjie Bi

Source: https://link.springer.com/



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