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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59876
Title: 週期性成長之隨機延遲物種系統
STOCHASTIC DELAY POPULATION SYSTEMS
WITH PERIODIC GROWTH RATE
Authors: Hsin-Lun Li
李欣倫
Advisor: 陳俊全(Chiun-Chuan Chen)
Keyword: 布朗運動,Gronwall不等式,Ito不等式,隨機延遲物種系統,強大數法則,
Brownian motion,Gronwall inequality,Ito formula,Stochastic Delay Population System,Strong law of large numbers,
Publication Year : 2017
Degree: 碩士
Abstract: 於此篇文章我們將透過週期性成長之隨機延遲物種系統探討物種的延
續與滅絕並探討在什麼情形下物種得以延續,什麼情形下物種會滅絕
以及物種在不同情形下的表現。
In this say, we probe the persistence and extinction of species via Stochastic Delay Lotka-Volterra model with periodic functions to depict seasonal growth of species. We will discuss under what circumstances the solution
to the model is positive almost surely and under what circumstances it exterminates. We also probe properties of the solution to the model under different circumstances.
URI: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/59876
DOI: 10.6342/NTU201700338
Fulltext Rights: 有償授權
Appears in Collections:數學系

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