- 期刊
Stability Analysis on Nonselective Harvesting of a Predator-Prey Fishery System with Time Delays
具時滯參數的捕食漁獲系統之穩定性分析
摘要
本篇論文主要是研究具時滯參數的非選擇性捕食漁獲系統之整體穩定性。首先，我們先介紹這個模型；而後推導出系統的正均衡點之局部穩定性和整體穩定性的充分條件；最後，我們舉例說明上述結果。
關鍵字
無資料並列摘要
In this thesis, we are interested in studying the stability of the unique positive equilibrium point of a nonselective harvesting of a predator-prey fishery system with time delay. Firstly, we state the formulation of the model. Secondly, we drive different conditions for local and global stability of the positive equilibrium of the system, respectively. Finally, we illustrate our results by some examples.
延伸閱讀
- Ho, C. P., & Liang, C. L. (2012). 時滯式Leslie-Gower捕食系統的整體穩定性. 東海科學, (14), 26-45. https://doi.org/10.29723/TS.201207.0003
- 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
- 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
- Hsu, F. C., & Ho, C. P. (2006). 具時滯參數之Lotka-Volterra互利共生系統之整體穩定性. 東海科學, (8), 81-107. https://doi.org/10.29723/TS.200607.0005
- Yang, W. T. (2015). 時變時滯網路系統之回授控制與穩定性分析 [doctoral dissertation, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu201500073