Global Stability for the Leslie-Gower Predator-Prey System with Time-Delay

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Title:	Global Stability for the Leslie-Gower Predator-Prey System with Time-Delay
Other Titles:	時滯式 Leslie-Gower 捕食系統的整體穩定性
Authors:	何肇寶；梁嘉玲 Chao-Pao, Ho； Liang Chia-Ling
Contributors:	東海大學理學院
Keywords:	Leslie-Gower predator-prey system, global stability, delay, Lyapunov functional
Date:	2012-06
Issue Date:	2013-03-25T09:00:32Z (UTC)
Publisher:	台中市：東海大學
Abstract:	In this paper, we are concerned with the dynamical behavior of the Leslie-Gower predator-prey system with time delay. First of all, we discuss the global stability for the Leslie-Gower predator-prey system without time delay. Next, we study the change of the global stability for the Leslie-Gower predator-prey system with time delay. Finally, we illustrate our results by some examples. 本篇論文主要分析Leslie-Gower捕食系統的整體穩定性。首先，利用Dulac’s Criterion+Poincare’Bendixon Theorem分析未具時滯參數之Leslie-Gower 捕食系統的整體穩定性。緊接著，利用Lyapunov Function 分析具時滯參數之Leslie-Gower捕食系統的整體穩定性。最後，用實例及電腦軌跡說明之。
Relation:	東海科學第14卷, p.26-45
Appears in Collections:	[College of Science] (School Publications)Tunghai Science

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