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題名 | Persistence and Global Stability on Competition System with Time-Delay=時滯式競爭系統之持久性和整體穩定性 |
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作者 | 陳信志; 何肇寶; | 書刊名 | 東海科學 |
卷期 | 5 民92.07 |
頁次 | 頁71-99 |
分類號 | 310 |
關鍵詞 | 競爭系統; 均衡點穩定性; Dulac's法則; Ponicaré-bendixson定理; 極限環; 均勻持久性; Lyapunov函數; 整體漸近穩定; Competition system; Equilibrium stability; Dulac's criterion; Ponicaré-Bendixson theorem; Limit cycle; Uniform persistence; Lyapunov functional; Global asymptotic stability; |
語文 | 英文(English) |
中文摘要 | 本篇論文主要探討具時滯參數之競爭系統的動態行為。首先,我們利用三種不同方法分析不具時滯參數之競爭系統的整體穩定性。而後討論具時滯參數之競爭系統,在適當條件下系統之解是均勻持久的,進而得到此系統之唯一正均衡點的整體穩定性的充分條件。最後,我們舉例說明上述結果。 |
英文摘要 | In this paper, we study the dynamical behavior of a competition system with time delay. We first use three different methods to analyze the global stability of the unique positive equilibrium point of the system without time delay. Secondly, it is shown that the system with time delay is uniform persistent under some appropriate conditions, and sufficient conditions are obtained for the global stability of the unique positive equilibrium point of the system with time delay. Finally, we illustrative our results by some examples. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。