| THE EXTINCTION IN NONAUTONOMOUS PREY-PREDATORLOTKA-VOLTERRA SYSTEMS |
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| 作者姓名： | 滕志东 俞元洪 |
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| 作者单位： | TENG ZHIDONG(Department of Mathematics，Xinjiang University，Urumqi 830046，China)YU YUANHONG(Institute of Applied Mathematics，the Chinese Academy of Sciences，Beijing 100080，China) |
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| 摘 要： | 1.IntroductionConsiderthenonautonomousprey-predatorLotka-Volterrasystem:whereal30andxZ20;hi(t)andail(t)(i,j=1,2)arecontinuousandboundedfunctionsdefinedon0,co).Weassumetbxoughoutthispapera'j(t)20forallt20andi,j~1,2andthatthereealstpositiveconstantsfisuchthatTheextinctionofperiodicpredator-preyLotka-Volterrasystemhasbeenstudiedinl].Inthispaper,ourpurposeistostudytheextinctionofgeneralnonautonomouspredatorpreyLotka-Volterrasystems.Weshallestablishsomesufficientconditionsandnecessary.Thisres…
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| 收稿时间： | 7 November 1997 |
The extinction in nonautonomous prey-predator Lotka-Volterra systems |
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| Teng Zhidong,Yu Yuanhong.THE EXTINCTION IN NONAUTONOMOUS PREY-PREDATORLOTKA-VOLTERRA SYSTEMS[J].Acta Mathematicae Applicatae Sinica,1999,15(4):401-408. |
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| Authors: | Teng Zhidong Yu Yuanhong |
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| Institution: | (1) Department of Mathematics, Xinjiang University, 830046 Urumqi, China;(2) Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | In this paper some new criteria about the extinction of solutions for two dimensional nonautonomous prey-predator Lotka-Volterra systems are established. The criteria obtained improve the results by Gomez, Ortega and Tineo. |
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| Keywords: | Nonautonomous Lotka-Volterra system prey predator extinction |
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