本文基于经典的阶段结构模型和Lotka-Volterra捕食模型,提出和研究了具有比率依赖型功能性反应模式的脉冲非自治两维时滞微分方程的周期性释放天敌在固定时刻对害虫控制的过程。得到了害虫灭绝周期解的全局吸引性和依赖于时滞和脉冲的人口模型持久性的条件.
In this paper,based on the classical stage-structured model and LotkaVolterra predator-prey model,an impulsive nonautonomous two dimensional delayed differential equations with ratio-dependent type functional response to mode the process of periodically releasing natural enemies at fixed times for pest control is proposed and investigated.Conditions are obtained for global attractivity of the "pest-extinction" periodic solution and permanence of the population of the model depend on time delay and impulses.