篇名 | Global Stability for the Lotka-Volterra Mutualistic System with Time Delayy |
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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 system 、 delay 、 global stability 、 Lyapunov functional 、 TSCI |
出刊日期 | 200607 |
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。
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.