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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/94042

    Title: Dynamics of One-Predator-Two-Prey Food Web Models with Holling type II Functional Response
    Other Titles: 一掠食者-兩被掠食者食物網模型的動態行為研究
    Authors: 王靜雯;Wang, Ching-Wen
    Contributors: 淡江大學數學學系碩士班
    Keywords: 食物鏈;Holling法則;一掠食者-兩被掠食者;Food Web Models;Holling type II;One-Predator-Two-Prey
    Date: 2013
    Abstract: 在這項研究中,我們考慮一掠食者-兩被掠食者模型依據Holling type II功能性反應且兩被掠食者之間不存在競爭關係。首先建立有界且有正解的初始條件,然後證明所有的邊界平衡點的存在性和穩定性在三維中。此外,我們利用掠食者的死亡率d作為參數,分類我們的動態系統(1.2),以及正平衡點存在性和穩定性的分析,最後利用我們的分類,進行一些數值模擬。
    In this work, we consider the one-predator-two-prey models with Holling type II functional response without competition between the two renewable base resource. We first establish the boundedness and positivity of solution with positive initial conditions. Then the existence and local stability of all boundary equilibria are clarified in R3. Moreover, we use the death rate of predator d as a parameter to classify the dynamics of system (1.2) as well as the existence and local stability of positive equilibrium. Finally, some numerical simulations are performed for each region of our classification.
    Appears in Collections:[數學學系暨研究所] 學位論文

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