夏木西努尔·阿不都热合曼, 曼合布拜·热合木. 具有时滞的非自治N-种群Lotka-Volterra竞争系统的灭绝准则(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2004, (3).
夏木西努尔·阿不都热合曼, 曼合布拜·热合木. 具有时滞的非自治N-种群Lotka-Volterra竞争系统的灭绝准则(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2004, (3).DOI:
具有时滞的非自治N-种群Lotka-Volterra竞争系统的灭绝准则(英文)
摘要
研究了具有时滞的非自治 N-种群 Lotka-Volterra竞争系统
利用 Liapunov泛函改进了关于灭绝的准则
Abstract
In this paper
the delayed non-autonomous n-species Lotka-Volterra competitive system is studied. A criterion on extinction of species is improved by using the Liapunov functional.
关键词
Keywords
references
AhmadS.Extinction of species in nonautonomousLotka-Volterra systemsProc[J].AmerMathSoc,1999,127:2905-2910.
TengZ,YuY.Some new results of nonautonomousLotka-Volterra competitive system with delays[J].JMathAnalAppl,2000,241:254-275.
TengZ Permanence and sability in nonautonomous logistic systems withinfinite delay[J].DynamicalSys-tems,2002,17:187-202.
TengZ.On the parmanence and extinction in nonautonomousLotka-Volterra competitive systemswith de-lays[J].ActaMath.Sinica,2001,44:293-306.
TengZ,ChenL.Uniform persistence and existence of strictly positive solutionsin nonautonomousLotka-Volterra competitive systems with delays[J].ComputersMathApplic,1999,37:61-71.
TengZ,LiZ.Permanence and asymptoticbehaviorof theN-speciesnonautonomousLotka-Volterra com-petitive systems[J].ComputersMathAppl,2000,39:107-116.