食饵具脉冲扰动与捕食者具连续收获的阶段结构捕食-双食饵模型

摘要

In this paper, a stage-structured predator-prey model with continuous harvesting and impulsive effect is investigated by means of comparative theorem of impulse differential equation. The dynamic behaviors of the model are considered. The beingness of the periodic solution is discussed and the sufficient conditions of overall attractions and continuous existence of the system for the predator extinct periodic solution turn to be obtained.%运用脉冲微分方程的比较定理，研究了一类具有脉冲扰动与捕食者具有连续收获的时滞捕食-双食饵模型，证明了系统所有解的一致完全有界，讨论了周期解的存在性，得到捕食者灭绝周期解的全局吸引性和系统持续生存的充分条件。