夏木西努尔·阿不都热合曼,曼合布拜·热合木

• 1:新疆大学数学与系统科学学院
• 2:新疆大学数学与系统科学学院 新疆乌鲁木齐
• 3:830046
• 4:新疆乌鲁木齐

摘要(Abstract)：

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

关键词(KeyWords)： Lotka-Volterra竞争系统;非自治;灭绝;Liapunov泛函

Abstract:

Keywords:

基金项目(Foundation): Supported by the National Natural Science Foundation of P.R. China ( 1 0 361 0 0 4) ;The Natural Sci- ence Foundation of Xinjiang Universit

作者(Author): 夏木西努尔·阿不都热合曼,曼合布拜·热合木

参考文献(References)：

• [1]AhmadS.Extinction of species in nonautonomousLotka-Volterra systemsProc[J].AmerMathSoc,1999,127:2905-2910.
• [2]TengZ,YuY.Some new results of nonautonomousLotka-Volterra competitive system with delays[J].JMathAnalAppl,2000,241:254-275.
• [3]TengZ Permanence and sability in nonautonomous logistic systems withinfinite delay[J].DynamicalSys-tems,2002,17:187-202.
• [4]TengZ.On the parmanence and extinction in nonautonomousLotka-Volterra competitive systemswith de-lays[J].ActaMath.Sinica,2001,44:293-306.
• [5]HofbaucrJ,SigmundK.TheTheory ofEvolution andDynamicalSystems[M].Cambridge:CambridgeU-nivPress,1988.
• [6]MontesF deOca,ZeemanM L.Balancing survival and extinction in nonautonomous competitiveLotka-Volterra systems[J].JMathAnalAppl,1995,192:360-370.
• [7]Montes deOcaF,ZeemanM L.Extinction in nonautonomous competitiveLotka-Volterra systems[J].ProcAmerMathSoci,1996,124:3677-3687.
• [8]AhmadS,Montes deOcaF.Extinction in nonautonomousT-peridic competitiveLotka-Volterra system[J].ApplMathComput,1998,90:155-166.
• [9]RedhefferR.NonautonomousLotka-Volterra systems[J].JDiffEquis,1996,127:519-541.
• [10]TengZ,ChenL.Uniform persistence and existence of strictly positive solutionsin nonautonomousLotka-Volterra competitive systems with delays[J].ComputersMathApplic,1999,37:61-71.
• [11]TengZ,LiZ.Permanence and asymptoticbehaviorof theN-speciesnonautonomousLotka-Volterra com-petitive systems[J].ComputersMathAppl,2000,39:107-116.