Lotka-Volterra自治竞争系统的共存与绝灭(英文)  

Coexistence and Extinction in Autonomous Competitive Lotka-Volterra Systems

作　　者：李必文[1] 谭德君[2] 

机构地区：[1]湖北师范学院数学系,湖北黄石435002 [2]鞍山师范学院学报编辑部,辽宁鞍山114005

出　　处：《生物数学学报》2004年第3期257-263,共7页Journal of Biomathematics

基　　金：Research is Supported by the Major Project Foundation of Hubei Province Education Department(20042001)

摘　　要：研究了一类自治n种群Lotka-Volterra竞争系统.建立了一部分种群绝灭,另一部分种群持续生存新的判别准则,推广了已知相关结果.In this paper, an automous n-species competitive Lotka-Volterra sys-tems are studied. For each r ≤n , we show that if the coefficients satisfy certaininequalities, then any solution with strictly positive initial values has the propertythat n - r of its components vanish, whilst the remaining r components asymptot-ically approach a canonical solution of an r-dimensional restricted system. In otherwords, r of the species being modeled survive whilst the remaining n - r are driven toextinction. Our results bridge the gap among all known relational results.

关 键 词：共存 绝灭 LOTKA-VOLTERRA系统 渐近性态 

分 类 号：O175.12[理学—数学]