Abstract
Computer virus has caused terrible damage. Establishing appropriate mathematical model is beneficial for comprehending the propagation regular pattern of computer virus. So, in this paper, we build a new Susceptible-Exposed-Infected-Kill signals-Recovered (SEIR-KS) computer virus model with two delays. At first, we obtain the basic regeneration number. Afterwards, we regard time delays as parameters and investigate the local stability and Hopf bifurcation of the endemic equilibrium by discussing the distribution of the eigenvalues of the corresponding characteristic equation. Then, we research direction and stability of Hopf bifurcation. In addition, we take some numerical simulations by Matlab to validate the correctness of theoretical results. At last, we analyze the basic reproductive rate and put forward some scientific advices.
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