一类竞争Lotka-Volterra系统的持续生存和灭绝(英文)  

The Persistence and Extinction in a Competitive Lotka-Volterra System

作　　者：赵建东[1] 陈文成[2] 

机构地区：[1]中国科学技术大学数学系,安徽合肥230026 [2]山东科技大学应用数学系,山东泰安271019

出　　处：《生物数学学报》2004年第2期141-148,共8页Journal of Biomathematics

基　　金：This research is supported by the National Natural Science Foundation of China (10171056)

摘　　要：对一类非自治竞争Lotka-Volterra系统,其相互作用系数为非负常数,S.Ahmad和A.CLazer研究了该系统并得到结果:在一定条件下,系统的第n个种群趋于灭绝而前n-1个种群强持续生存.本文我们讨论一类较一般的非自治竞争Lotka-Volterra系统,其相互作用系数为一类连续函数,得到同样结果.S. Ahmad and A. C. Lazer discussed a nonautonomous competitive Lotka-Volterra system in which all interspecific and intraspecific interaction coefficients are nonnegative constants, and obtained that under certain conditions the n-th species is driven to extinction while the first n -1 species are strong persistence. In this paper, we extend this result to a somewhat more general system in which all interspecific and intraspecific interaction coefficients are a class of continuous functions.

关 键 词：Lotka—Volterra系统 持续生存 灭绝 

分 类 号：O175.12[理学—数学]