Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/120739

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/120739

题名:	Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys
作者:	Chen, Yu-Shuo;Giletti, Thomas;Guo, Jong-Shenq
关键词:	Predator-prey system;Persistence;Traveling wave;Invaded state;Invading state
日期:	2021-04-25
上传时间:	2021-05-05 12:13:19 (UTC+8)
出版者:	Academic Press
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.
關聯:	Journal of Differential Equations 281, p.341-378
DOI:	10.1016/j.jde.2021.02.013
显示于类别:	[數學學系暨研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	148	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章