PERMANENCE AND GLOBAL STABILITY OF A DELAYED RATIO-DEPENDENT PREDATOR-PREY MODEL WITH STAGE STRUCTURE

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2008,（2）
• 页码范围: 171-183
• 页数: 13页
• 分类号: O17

摘要

A ratio-dependent predator-prey system with stage structure and time delays for both prey and predator is considered in this paper. Both the predator and prey have two stages,immature stage and mature stage,and the growth of them is of Lotka-Volterra nature. It is assumed that immature individuals and mature individuals of each species are divided by a fixed age,and that mature predators attack immature prey only. The global stability of three nonnegative equilibria and permanence are presented.