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- Global Stability for a Class of Predator-Prey Systems with Ratio-Dependence
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題名 | Global Stability for a Class of Predator-Prey Systems with Ratio-Dependence=具有比率相關之捕食系統的整體穩定性 |
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作者 | 何肇寶; 林坤祥; Ho, Chao-pao; Lin, Kuen-shyang; |
期刊 | 東海科學 |
出版日期 | 20010700 |
卷期 | 3 2001.07[民90.07] |
頁次 | 頁113-133 |
分類號 | 360.13 |
語文 | eng |
關鍵詞 | 整體穩定性; 捕食系統; 比率相關; Global stability; Predator-prey system; Ratio-dependence; |
中文摘要 | 本篇論文主要在研究具有比率相關之捕食系統的整體穩定性。我們利用Poinecare-Bendixson定理及Dulac準則、極限環穩定分析法等兩種方法,得到上述系統的整體穩定性之充分條件。 |
英文摘要 | The main purpose of this paper is to study the global stability of the positive locally asymptotically stable rest point in a class of predator-prey systems with ratio-dependence. We apply the Poincare-Bendixson theorem, Dulac’s criterion, and the method of limit cycle stability analysis to establish sufficient conditions for the global stability. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。