具有Holling II型的三種群食物鏈模型的動態

Dynamics of Three Species Food Chain Model with Holling type II Functional Response

高如賢(Ru-Sian Gao)

指導教授 ： 楊定揮

淡江大學/理學院/數學學系數學與數據科學碩士班/碩士(2019年)

https://doi.org/10.6846/TKU.2019.00319

摘要

在這項工作中，我們考慮具有Holling II型功能反應的三種食物鏈模型。在重新調整的變換之後，我們有一個具有三個方程和6個參數的ODE系統。基於一些滅絕結果，假設一些溫和的假設。然後研究了每個邊界平衡點的局部穩定性，並完全分析了正平衡點的存在性。此外，By Routh-Hurwitz準則驗證了共存的局部穩定性。最後，進行了一些有趣的數值模擬來說明我們的理論結果

關鍵字

food chain

並列摘要

In this work, we consider a three species food chain model with Holling type II functional response. After the rescaled transformation, we have a system of ODE with three equations and 6 parameters. Based on some extinction results, some mild hypothesis are assumed. Then local stability of each boundary equilibria are investigated, and the existence of positive equilibrium are analyzed completely. Moreover, the local stability of coexistence are verified by By Routh-Hurwitz criterion. Finally, some interesting numerical simulation are performed to illustrate our theoretical results.

並列關鍵字

food chain

參考文獻

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