摘要
本文在〔1〕、〔2〕、〔3〕的基础上,给出了一种捕食-被捕食模型并证明了:若时,该系统在中存在唯一的正平衡位置,且该平衡位置是局部渐近稳定的;若再加上条件K1≥1、K2≥1,则该平衡位置全局稳定.
This article deals with a class of predator-prey model which based on [1] [2] [3], and it is proved that when a2 <,a 2 <1,a1<1,the system has only one positive equilibrium in the region D = {(x, y):x >0,0 < y <--m }and the equilibrium is locally stable;if an additional condition K1,K2≥1 is added,the equilibrium is globally asymptotically stable inside D.
出处
《生物数学学报》
CSCD
北大核心
1996年第S1期8-12,共5页
Journal of Biomathematics
关键词
捕食-被捕食
局部渐近稳定
全局渐近稳定
Predator-prey locally asymptotically stable golbally asymptotically stable