Extinction of species in nonautonomous Lotka-Volterra systems

被引：55
|
作者：
Ahmad, S [1 ]
机构：
[1] Univ Texas, Div Math & Stat, San Antonio, TX 78249 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 10期
关键词：
positive; component; system; extinction; exponentially;
D O I：
10.1090/S0002-9939-99-05083-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonautonomous nth order Lotka-Volterra system of differential equations is considered. It is shown that if the coefficients satisfy certain inequalities, then any solution with positive components at some point will have all of its last n - 1 components tend to zero, while the first one will stabilize at a certain solution of a logistic equation.
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页码：2905 / 2910
页数：6
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