- 期刊
Local and Global Stability for a Predator-Prey Model of Modified Leslie-Gower and Holling-Type Ⅱ with Time-Delay
具時滯參數之Leslie-Gower Holling-Type Ⅱ型捕食系統的局部及整體穩定性
摘要
我們分析具時滯參數之Leslie-Gower Holling-Type II型捕食系統的局部及整體穩定性。首先我們分別探討不具時滯參數或具時滯參數之Leslie-Gower Holling-Type II型捕食系統的局部及整體穩定性。最後，用實例及電腦軌跡圖說明之。
並列摘要
In this paper, we analyze the dynamic behavior of a predator-prey model of modified Leslie-Gower and Holling-Type II with time delay. Firstly, we discuss the local and global stability for this system without time delay. Secondly, we find out some sufficient conditions for local and global stability of the unique positive equilibrium point of this system with time delay by constructing different Lyapunov function, respectively. Finally, we illustrate our results by some examples.
延伸閱讀
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- Tsai, H. C., & Ho, C. P. (2004). 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. 東海科學, (6), 43-72. https://doi.org/10.29723/TS.200407.0003
- Yang, T. Y. (2009). 輔以強健適應追蹤控制具有未知截止區輸入非線性不確定狀態時間延遲系統的設計 [master's thesis, Tatung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0081-3001201315104195
- Chen, K. F. (2010). 離散時間延遲系統之穩定性分析與迴授之穩定化設計 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2010.02969
- Ho, C. P., & Ou, Y. L. (2002). 時滯參數對捕食系統之局部穩定性的影響. 東海科學, (4), 47-62. https://www.airitilibrary.com/Article/Detail?DocID=10238719-200207-x-4-47-62-a