Abstract:

The stability of a pest management viral infection system with impulsive releases of viral particles and natural enemies was researched by means of Floquet’s theorem, smallamplitude perturbation skills and comparison theorem. The sufficient conditions of globally asymptotic stability of pesteradication periodic solution and the permanence of the system controlled by that controller were obtained. Finally the mathematical findings were illustrated by numerical simulations.

Key words: impulsive, global stability, uniform permanence