中文摘要：

研究了在具有脉冲输入毒素污染的生态环境中,讨论了具有阶段性结构的捕食食饵模型,充分利用定理来证明了捕食者灭绝的时滞周期解是全局吸引的,以及系统是永久生存的.

英文摘要：

This paper studied the model of the prey predator with structure of the time delay stage in the ecological environment with the pulse input toxin,and proved that the delay periodic solution of predator extinction is globally attractive and the system permanently survives by using the theorem.