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題名 | Global Stability for the Leslie-Gower Predator-Prey System with Time-Delay and Holling's Type Functional Response=具時滯參數且函數反應為Holling型式的Leslie-Gower捕食系統之整體穩定性 |
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作者姓名(中文) | 蔡翰征; 何肇寶; | 書刊名 | 東海科學 |
卷期 | 6 民93.07 |
頁次 | 頁43-72 |
分類號 | 360.13 |
關鍵詞 | Leslie-gower捕食系統; 整體穩定性; 時滯參數; Holling型式; Lyapunov函數; |
語文 | 英文(English) |
中文摘要 | 本篇討論文主要探討具時滯參數且函數反應為Holling型式的Leslie-Gower捕食系統之整體穩定性。首先,我們利用Lyapunov函數來分別討論不同Holling型式時具時滯參數的Leslie-Gower捕食系統之整體穩定性。最後,我們舉例說明我們的結果。 |
英文摘要 | In this paper, we concerned about the dynamical behavior of the Leslie-Gower Predator-prey system with time delay8 and different functional response p(x). At first, we discuss the global stability for the Leslie-Gower predator-prey system with time delay and p(x)=cx. Secondly, with p(x)=cx/1+x. Thirdly, with p(x)=cx2/1+x. Finally, we illustrate 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。