- 學位論文
週期性成長之隨機延遲物種系統
STOCHASTIC DELAY POPULATION SYSTEMS WITH PERIODIC GROWTH RATE
摘要
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。
並列摘要
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.
參考文獻
[1] Xuerong Mao (2007), Stochastic di erential equations and applications
[2] Arnold, L. (1974), Stochastic Di erential Equations: Theory and
Applications, John Wiley and Sons.
[3] Arnold, L. and Crauel, H. (1991), Random dynamical system, Lecture
[4] Arnold, L. and Kliemann, W. (1987), On unique ergodicity for degenerate
延伸閱讀
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- 林柏霖（2017）。物種與系統演化貝它多樣性之稀釋與預測〔碩士論文，國立清華大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0016-0401201815570024
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