关键词: 阶段结构, 时滞, 脉冲, 一致持久, 全局吸引

Abstract:

On the basis of a stagestructured delayed predatorprey model, introducing the impulsive stocking prey, we improved the system. And the mathematical model has biological meanings. Based on the comparison theorem and periodic solution existing theorem of impulsive differential equations, sufficient conditions of the global attractivity of pestextinction boundary periodic solution and permanenc of the system were obtained. It was also proved that all the solutions of the system are uniformly ultimately bounded.

Key words: stagestructured, delayed, impulsive, uniform persistent, global attractivity