Viral Disease Model for Pest Management

In this paper, a stage-structure delay viral disease model with periodic releasing virus particles and natural enemies is introduced and analyzed. The sufficient conditions for the global attractivity of the susceptible mature pest-eradication periodic solution are obtained by using corresponding theories and methods of impulsive delayed differential equation, and furthermore, it is obtained that the amount of susceptible mature pest can be controlled under the threshold of economic injury level if the impulsive period was within an appropriate range, that is, the pests, virus particles and natural enemies may coexist. Therefore, our results provide a reliable tactic basis for the practical pest management.