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

作　　者：Lu Zhiqi,Wang Jiaoyan(Dept. of Math.,Henan Normal University,Xinxiang 453007,Henan) 

出　　处：《Annals of Differential Equations》2008年第2期171-183,共13页微分方程年刊（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (No.10572011).

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.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.

关 键 词：stage structure time delay PERMANENCE global stability 

分 类 号：O175[理学—数学]