Optimal control of a delayed SLBS computer virus model

• Propose a delayed SLBS computer virus model.
• Investigate existence of the optimal control strategy.
• Compute cost value when choosing different delay and control strategy.
• Give numerical simulations to show the effectiveness of the strategy.

In this paper, a delayed SLBS computer virus model is firstly proposed. To the best of our knowledge, this is the first time to discuss the optimal control of the SLBS model. By using the optimal control strategy, we present an optimal strategy to minimize the total number of the breakingout computers and the cost associated with toxication or detoxication. We show that an optimal control solution exists for the control problem. Some examples are presented to show the efficiency of this optimal control.