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

時滯式Leslie-Gower捕食系統的整體穩定性

摘要


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。

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並列摘要


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.

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