中文摘要：

建立了毒素具脉冲扩散与输入的单种群动力学模型,利用脉冲微分方程理论对模型进行研究,分别获得了系统种群灭绝和持久生存的条件,为环境污染中的生物资源管理提供了可靠的依据.

英文摘要：

This paper forms a single population dynamics model with pulse input and spread of Environmental toxin,using the theory of impulsive differential equations to solve the model and get the final conclusion.Conditions are obtained for the species extinction and persistent systems.It provides reliable strategies for the biological resources management of the environmental pollution.