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題名 | 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 |
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作者 | 徐楓淳; 何肇寶; | 書刊名 | 東海科學 |
卷期 | 8 民95.07 |
頁次 | 頁81-107 |
分類號 | 319.9 |
關鍵詞 | 共生系統; 時滯參數; 整體穩定性; Lyapunov涵數; Mutualistic system; Delay; Global stability; Lyapunov functional; |
語文 | 英文(English) |
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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