| 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), p.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 | en_US |
| ISSN | 1096-0813 |
| 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 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/101019 ) |
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