Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys
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
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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