教師資料查詢 | 類別: 期刊論文 | 教師: 楊定揮 Yang, Ting-hui (瀏覽個人網頁)

標題:Analysis of three species Lotka–Volterra food web models with omnivory
學年103
學期2
出版(發表)日期2015/06/15
作品名稱Analysis of three species Lotka–Volterra food web models with omnivory
作品名稱(其他語言)
著者Hsu, Sze-Bi; Shigui Ruan; Yang, Ting-Hui
單位淡江大學數學學系
出版者Maryland Heights: Academic Press
著錄名稱、卷期、頁數Journal of Mathematical Analysis and Applications 426(2), pp.659–687
摘要In this work, we consider a three species Lotka–Volterra food web model with omnivory which is defined as feeding on more than one trophic level. Based on a non-dimensional transformation, the model actually becomes a system of three first order ordinary differential equations with seven parameters. Analytically, we completely classify the parameter space into three categories containing eight cases, show the extinction results for five cases, and verify uniform persistence for the other three cases. Moreover, in the region of the parameter space where the system is uniformly persistent we prove the existence of periodic solutions via Hopf bifurcation and present the chaotic dynamics numerically. Biologically, the omnivory module blends the attributes of several well-studied community modules, such as food chains (food chain models), exploitative competition (two predators–one prey models), and apparent competition (one predator–two preys models). We try to point out the differences and similarities among these models quantitatively and give the biological interpretations.
關鍵字Three species;Predator–prey;Omnivory;Generalist predator;Global dynamics;Uniform persistence
語言英文(美國)
ISSN1096-0813
期刊性質國外
收錄於SCI;
產學合作
通訊作者楊定揮
審稿制度
國別美國
公開徵稿
出版型式,電子版,紙本
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