Dynamics of fragmented patches predator-prey population models with dispersal costs

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Title:	Dynamics of fragmented patches predator-prey population models with dispersal costs
Other Titles:	破碎棲息地上捕食者與被捕食者的密度模型受到傳播消耗影響下的動態行為研究
Authors:	余金衛;Yu, Jin-Wei
Contributors:	淡江大學數學學系碩士班楊定揮;Yang, Ting-Hui
Keywords:	破碎棲息地;被捕食者;Fragmented Patches;Predator-Prey
Date:	2015
Issue Date:	2016-01-22 14:52:29 (UTC+8)
Abstract:	這篇論文我們研究在兩個或三個破碎環境下捕食者與被捕食者物種密度相互影響的傳播動態分析。在每個破碎棲息地上，擁有兩或三物種的雜食生態系。我們假設在兩物種時的捕食者和三物種時頂端捕食者和中間物種可以在破碎棲息地之間移動。在兩物種兩棲息地的情況下，我們已經研究出所有變數的動態行為，也找出來局部穩定的所有平衡點。甚至一些全域穩定的情況也找到理論判別出來。最後我們提出三物種兩棲息地和三物種三棲息地的數據分析。傳播消耗的影響我們則在生物多樣性下面去討論。 In this work, we consider the population-dispersal dynamics for predator-prey interactions in a two- or three-patchy environment. On each fragmented patch, there is a two-species predator-prey or three-species omnivory ecological system. It is assumed that the predator species of two-species models or the intermediate species and top predator of three-species models are mobile. For the 2-species-2-patch case, we have completely classi_ed all dynamics with respect to all parameters and have showed the local stability of all equilibria. Moreover, some global extinction results are verified analytically. Finally, numerical simulations of 3-species-two-patch and 3-species-3-patch model are performed. The the effect of dispersal rate with respect to the bio-diversity are discussed.
Appears in Collections:	[Graduate Institute & Department of Mathematics] Thesis

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