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.
propose a delay SIQR model REF , and analyze the stability of the positive equilibrium and the existence of Hopf bifurcation.
Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay
Discrete Dynamics in Nature and Society
Mathematics