| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 游天福 | zh_TW |
| DC.creator | Tien-fu Yu | en_US |
| dc.date.accessioned | 2011-6-25T07:39:07Z | |
| dc.date.available | 2011-6-25T07:39:07Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=982201004 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 本篇論文中，我們首先考慮兩個相互競爭的物種在異構環境的Lotka-Volter- ra competition-diffusion-advection model。這兩類物種除了他們的流動策略外，是完全相同的，而不同的流動策略是指：一類是隨機擴散，另一類則是“較聰明”─ 結合的隨機擴散和定向運動增加的環境梯度。在[3]裡面，Prof. Chen和Prof. Lou給了一個猜想，如果環境函數有多個局部極大值，那麼“較聰明”的物種，將會集中在所有該環境函數的局部極大值。然而，在[6]裡，Prof. Ni 和Dr. Lam發現，假如隨機擴散的物種在環境函數的局部極大值高於環境函數，會導致“較聰明”的物種被滅絕。在這篇文章中，我們考慮三類物種的Lotka-Volterra competition-diffusion-advection model，並期望會有與Prof. Ni 和Dr. Lam類似的結論可以被證明。
| zh_TW |
| dc.description.abstract | In this thesis, we first consider a Lotka-Volterra competition-diffusion-advection model for two competing species in a heterogeneous environment. The two species are identical except for their dispersal strategies: One is just random diffusion while the other is ＂smarter＂- a combination of random diffusion and a directed movement up the environmental gradient. In [3], Chen and Lou conjectured that if the environment function $m$ has multiple local maxima, then the ＂smarter＂ species must concentrate at all local maximum of m. Nevertheless, in [6], Lam and Ni found that the ＂smarter＂ species will die out if the local maximum of m is smaller than the density of the other species. In this article, we consider a model of three species and expect that the related results will be similar to those in [6].
| en_US |
| DC.subject | 極限行為 | zh_TW |
| DC.subject | 競爭擴散系統 | zh_TW |
| DC.subject | advection | en_US |
| DC.subject | diffusion | en_US |
| DC.subject | competition | en_US |
| DC.subject | Lotka-Volterra | en_US |
| DC.title | 關於三物種間之高流動性Lotka-Vollterra競爭擴散系統的波形極限行為 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Limiting Profiles of Lotka-Volterra Competition-diffusion System with Large Advection in Three Species Dynamics | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |