Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys | |
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學年 | 109 |
學期 | 2 |
出版(發表)日期 | 2021-04-25 |
作品名稱 | Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys |
作品名稱(其他語言) | |
著者 | Yu-Shuo Chen; Thomas Giletti; Jong-Shenq Guo |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | Journal of Differential Equations 281, p.341-378 |
摘要 | We investigate the traveling wave solutions of a three-species system involving a single predator and a pair of strong-weak competing preys. Our results show how the predation may affect this dynamics. More precisely, we describe several situations where the environment is initially inhabited by the predator and by either one of the two preys. When the weak competing prey is an aboriginal species, we show that there exist traveling waves where the strong prey invades the environment and either replaces its weak counterpart, or more surprisingly the three species eventually co-exist. Furthermore, depending on the parameters, we can also construct traveling waves where the weaker prey actually invades the environment initially inhabited by its strong competitor and the predator. In all those situations, we find the infimum of the set of admissible wave speeds; these results are sharp at least when the three species diffusive at the same speed. |
關鍵字 | Predator-prey system ;Persistence;Traveling wave;Invaded state;Invading state |
語言 | en_US |
ISSN | 0022-0396; 1090-2732 |
期刊性質 | 國外 |
收錄於 | SCI |
產學合作 | |
通訊作者 | |
審稿制度 | 是 |
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/987654321/120739 ) |
SDGS | 陸域生命 |