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.
出处
《生物数学学报》
CSCD
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)