Hopf Bifurcation Analysis of Computer Virus Propagation Model with Time Delays and Diffusion Effect

In this paper, a SIQ computer virus propagation model with time delays and diffusion effect is proposed, which can describe Internet virus propagation more accurately. Then, the local stability of the steady state and the existence of Hopf bifurcation are analyzed. The conditions that ensure the stability of the system and the existence of Hopf bifurcation are given. Finally, the correctness of the theoretical analysis is verified by some numerical simulations.