篇名 | Global Stability for the Leslie-Gower Predator-Prey System with Time-Delay |
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卷期 | 14 |
並列篇名 | 時滯式Leslie-Gower捕食系統的整體穩定性 |
作者 | 何肇寶 、 梁嘉玲 |
頁次 | 026-045 |
關鍵字 | Leslie-Gower predator-prey system 、 global stability 、 delay 、 Lyapunov functional 、 TSCI |
出刊日期 | 201206 |
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LyapunovFunction 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。
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.