ALIEN INVASION INTO THE BUFFER ZONE BETWEEN TWO COMPETING SPECIES

被引：0
|
作者：
Ei, Shin-Ichiro [1 ]
Ikeda, Hideo [2 ]
Ogawa, Toshiyuki [3 ]
机构：
[1] Hokkaido Univ, Fac Sci, Dept Math, Sapporo 0600810, Japan
[2] Univ Toyama, Dept Math, Gofuku 3190, Toyama 9308555, Japan
[3] Meiji Univ, Grad Sch Adv Math Sci, Nakano 4-21-1, Tokyo 1648525, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 12期
关键词：
Competitor-mediated coexistence; traveling wave solution; three-component competition-diffusion system; center manifold reduction; transcritical bifurcation; REACTION-DIFFUSION-SYSTEMS; TRAVELING-WAVE SOLUTIONS; STABILITY;
D O I：
10.3934/dcdsb.2023081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. Bifurcation of non-monotone traveling wave solutions of the threespecies Lotka-Volterra competition diffusion system under strong competition is studied. The well-known front and back traveling wave formed by two species may lose its stability by the effect of third species and, as a result, allows the invasion. To discuss how the invasion is possible, stability change with respect to the intrinsic growth rate for the alien species are studied. Both numerical and theoretical bifurcation analysis around the bifurcation point reveal how the invasion affects the segregation of the original two species.
引用
收藏
页码：6062 / 6091
页数：30
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