Traveling Wave Solutions for some Three-Species Predator-Prey Systems

被引：5
|
作者：
Guo, Jong-Shenq [1 ]
机构：
[1] Tamkang Univ, Dept Math, New Taipei 251301, Taiwan
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2021年 / 52卷 / 01期
关键词：
predator-prey model; traveling wave; wave speed; upper-lower-solution; REACTION-DIFFUSION-SYSTEMS; EXISTENCE; DYNAMICS; FRONTS;
D O I：
10.5556/j.tkjm.52.2021.4029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present some recent developments on the application of Schauder's fixed point theorem to the existence of traveling waves for some three-species predator-prey systems. The existence of traveling waves of predator-prey systems is closely related to the invasion phenomenon of some alien species to the habitat of aboriginal species. Three different three-species predator-prey models with different invaded and invading states are presented. In this paper, we focus on the methodology of deriving the convergence of stale tail of wave profiles.
引用
收藏
页码：25 / 36
页数：12
相关论文
共 50 条
12345