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東海科學

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篇名 Global Stability for the Lotka-Volterra Mutualistic System with Time Delayy
卷期 8
並列篇名 具時滯參數之Lotka-Volterra 互利共生系統之整體穩定性
作者 徐楓淳何肇寶
頁次 081-107
關鍵字 共生系統時滯參數整體穩定性Lyapunov 涵數Mutualistic systemdelayglobal stabilityLyapunov functionalTSCI
出刊日期 200607

中文摘要

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。

英文摘要

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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