具有多时滞影响的阶段结构捕食—被捕食模型研究Research on a Stage-Structured Predator-Prey Model with Time-Delays
陈宁,王良龙
摘要(Abstract)：
研究一个捕食者与被捕食者均有时滞影响的且捕食者只捕食幼年食饵的捕食—被捕食模型,通过构造适当的Lyapunov泛函,讨论了该模型的正平衡点与非负边界平衡点的渐进稳定性,从而得到了该生态模型的永久持续生存与灭绝的充分性条件。
关键词(KeyWords)： 时滞;阶段结构;捕食-被捕食模型;永久持续生存;灭绝
基金项目(Foundation): 教育部博士点基金(20113401110001);; 安徽省自然科学基金(KJ2009A49)资助
作者(Author): 陈宁,王良龙
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