請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/20045
標題: | 離散和非局部競爭型洛特卡-沃爾泰拉系統的行波解之物種數量估計 Estimates of Population Sizes for Traveling Wave Solutions of Discrete and Non-local Lotka-Volterra Competition Systems |
作者: | Ting-Yang Hsiao 蕭定洋 |
指導教授: | 陳俊全 |
關鍵字: | 洛特卡-沃泰爾拉競爭模型,N型屏障法,離散洛特卡-沃泰爾拉模型,非局部的洛特卡-沃泰爾拉模型,最大值定理,行波解,總質量估計, Lotka-Volterra System,Maximum principle,N-barrier method,Discrete Lotka-Volterra System,Non-Local Lotka-Volterra System,Traveling wave solution,Total mass estimate, |
出版年 : | 2018 |
學位: | 碩士 |
摘要: | 這篇論文主要是探討離散以及非局部的洛特卡-沃泰爾拉競爭模型的物種質量估計。這篇文章中,我們使用N型屏障方法去證明離散以及非局部的洛特卡-沃泰爾拉模型的物種有一個有意思的下界。除此之外,我們利用這個下界,我們能夠證明某些條件下,三個物種的洛特卡-沃泰爾拉模型的解是不存在的。 In the present paper, we show that an analogous N-barrier maximum principle (see [3,5,7]) remains true for lattice systems. This extends the results in [3,5,7] from continuous equations to discrete and non-local equations. In order to overcome the difficulty induced by a discrete and non-local version of the classical diffusion in the lattice and non-local systems, we propose a more delicate construction of the N-barrier which is appropriate for the proof of the N-barrier maximum principle for lattice systems. As an application of the discrete N-barrier maximum principle, we study a coexistence problem of three species arising from biology, and show that the three species cannot coexist under certain conditions. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/20045 |
DOI: | 10.6342/NTU201801249 |
全文授權: | 未授權 |
顯示於系所單位: | 數學系 |
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