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

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  • Juan Liu

Abstract

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.

Suggested Citation

  • Juan Liu, 2014. "Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:492198
    DOI: 10.1155/2014/492198
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    References listed on IDEAS

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    6. Changjin Xu & Xiaofei He, 2011. "Stability and Bifurcation Analysis in a Class of Two‐Neuron Networks with Resonant Bilinear Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    7. Zongyi Hou & Hongying Zhu & Chunhua Feng, 2013. "Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    Cited by:

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