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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 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-106-1.pdf Restricted Access | 772.8 kB | Adobe PDF |
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