Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay

@inproceedings{Zhang2015HopfBO,
  title={Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay},
  author={Zizhen Zhang and Huizhong Yang},
  year={2015}
}
A delayed SIQR computer virus model is considered. It has been observed that there exists a critical value of delay for the stability of virus prevalence by choosing the delay as a bifurcation parameter. Furthermore, the properties of the Hopf bifurcation such as direction and stability are investigated by using the normal form method and center manifold theory. Finally, some numerical simulations for supporting our theoretical results are also performed. 

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Hopf bifurcation in an Internet worm propagation model with time delay in quarantine

Hopf bifurcation analysis of a delayed viral infection model in computer networks

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