非线性奇摄动多种群生态竞争-捕食系统的渐近解(英文)  

Asymptotic Solution for the Nonlinear Singularly Perturbed Systems of Multispecies Ecological Competition-Predator

作　　者：欧阳成[1] 韩祥临[1] 

机构地区：[1]湖州师范学院数学系,浙江湖州313000

出　　处：《生物数学学报》2005年第1期23-27,共5页Journal of Biomathematics

基　　金：The Project is Supported by the National Natural Science Foundation of China(10471039)the Natural Science Foundation of Zhejiang Province(102009)

摘　　要：利用局部坐标系统和边界层函数,讨论了一类多种群生态竞争-捕食非线性奇摄动系统的渐近 性,得出了其任意r阶的渐近估计.In this paper, by means of a local coordinate system and a boundary layer function, we consider the asymptotic solution for a class of nonlinear singularly perturbed delay systems of multispecies ecological competition-predator delays. The rth-order asymptotic estimate is obtained.

关 键 词：局部坐标系统 边界层函数 竞争—捕食系统 渐近性态 

分 类 号：O175.29[理学—数学]