Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay | Zendy

Haitao Song | Zendy; Qiaochu Wang | Zendy; Weihua Jiang | Zendy

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Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay

Author(s) -

Haitao Song,

Qiaochu Wang,

Weihua Jiang

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 - 10.1155/2014/929580

Subject(s) - hopf bifurcation , center manifold , stability (learning theory) , mathematics , bifurcation , control theory (sociology) , periodic orbits , mathematical analysis , physics , computer science , nonlinear system , control (management) , quantum mechanics , machine learning , artificial intelligence

A computer virus model with infection delay and recovery delay is considered. The sufficient conditions for the global stability of the virus infection equilibrium are established. We show that the time delay can destabilize the virus infection equilibrium and give rise to Hopf bifurcations and stable periodic orbits. By the normal form and center manifold theory, the direction of the Hopf bifurcation and stability of the bifurcating periodic orbits are determined. Numerical simulations are provided to support our theoretical conclusions

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