中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (4): 23-27.

• 研究论文 • 上一篇    下一篇

一类具有三个成长阶段的捕食-被捕食模型的持久性和灭绝性

王爱丽   

  1. (宝鸡文理学院数学系,陕西 宝鸡 721013)
  • 收稿日期:2010-07-06 修回日期:1900-01-01 出版日期:2011-07-25 发布日期:2011-07-25

Permanence and Extinction in a Class of PredatorPrey Model with three Life Stages 

WANG Aili
  

  1. (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,China)
  • Received:2010-07-06 Revised:1900-01-01 Online:2011-07-25 Published:2011-07-25

摘要: 讨论了一类食饵种群具有三个成长阶段的捕食-被捕食模型。通过构造Lyapunov泛函,讨论了模型的非负平衡点的吸引性,给出了两物种保持持久生存,捕食者种群灭绝,及两种群均灭绝的条件。

关键词: 阶段结构, 全局吸引性, 时滞, 持久生存, 灭绝

Abstract: A class of predatorprey model with three life stages is investigated.The global attractivity of the nonnegative equilibriums is discussed by constructing Lyapunov functionals.Moreover,we obtain the conditions under which all the species keep permanent,the predator species become extinct or all the species become extinct,respectively.

Key words: stagestructure, global attractivity, delay, permanence, extinction

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