臺灣博碩士論文加值系統

本篇論文主要是在探討關於兩個物種對於三個相配資源競爭的數學模型，首先，我們會呈現一些初步的結果，顯示此一生物數學模型的行為，與我們對於生物問題的直覺是相契合的，並且將此五維度的微分方程系統降階到一個二維度的微分方程系統，然後針對這兩個物種對於此三個相配資源競爭的優劣關係，進行數學上的分析，最後我們就此分析結果去探討他們的生物意義。

This paper concerns the exploitative competition of two species for three complementary resources in a chemostat. The predicted biological conditions which should give rise to each of the possible competitive outcomes are presented in detail and analyzed globally under the different assumptions on the break-even concentrations for each nutrient. We also state some preliminary results and reduce the system of five differential equations to a system of two differential equations by using the theory of asymptotically autonomous systems.

1.Introduction..............................................1
2.The Model.................................................2
3.Preliminary Results.......................................3
4.Rest Points of Omega and Their Local Stability............7
5.Global Analysis of the Limiting System...................10
6.Discussion...............................................27
References.................................................28

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