Dynamics and Optimal Shelter for Computer Virus Propagation in Network

In this paper, we propose a computer virus propagation model in network with shelter which depends on the incidence of virus infection. First, we give the threshold value determining whether the virus dies out completely and study the stability of the virus-free and virus equilibrium of model, respectively. Next, in order to achieve optimal shelter coverage, a control problem relative to our model is taken into account and it is shown that an optimal control solution exists for this control problem and it can be solved numerically using the Runge-kutta fourth order procedure. Finally, some numerical simulations are given to support our mathematical conclusions.

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