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Global Stability for the Lotka-Volterra Mutualistic System with Time Delayy

具時滯參數之Lotka-Volterra互利共生系統之整體穩定性

摘要


我們分析具時滯參數之Lotka-Volterra互利共生系統之整體穩定性。首先,我們利用三種不同的方法分析不具時滯參數之Lotka-Volterra互利共生系統之整體穩定性。緊接著,我們分析具時滯參數之Lotka-Volterra互利共生系統之整體穩定性。最後,我們用實例及電腦軌跡圖說明之。

並列摘要


In this paper, we are concerned with the dynamical behavior of a two-species Lotka-Volterra mutualistic system with time delay. First of all, we use three different methods to discuss the global stability of the unique positive equilibrium point of a two-species Lotka-Volterra mutualistic system without time delay. Secondly, we study the change of the global stability for a two-species Lotka-Volterra mutualistic system with time delay. Finally, we illustrative our results by some examples.

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