Semi-exact equilibrium solutions for three-species competition-diffusion systems

被引：17

作者：

Chen, Chiun-Chuan ^{[1
]}

Hung, Li-Chang ^{[1
]}

Mimura, Masayasu ^{[2
,3
]}

Tohma, Makoto ^{[2
,4
]}

Ueyama, Daishin ^{[2
,3
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

[2] Meiji Univ, Grad Sch Adv Math Sci, Kawasaki, Kanagawa 2148571, Japan

[3] Meiji Univ, Meiji Inst Adv Study Math Sci, Kawasaki, Kanagawa 2148571, Japan

[4] Momoyama Gakuin Univ, Dept Econ, Izumi 5941198, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2013年 / 43卷 / 02期

关键词：

reaction-diffusion equations; competitor-mediated coexistence; semi-exact equilibrium solutions; LOTKA-VOLTERRA SYSTEM; LIMIT-CYCLES; BIFURCATION; SPEED; MODEL;

D O I：

10.32917/hmj/1372180511

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a three-species competition-diffusion system, in order to discuss the problem of competitor-mediated coexistence in situations where one exotic competing species invades a system that already contains two strongly competing species. It is numerically shown that, under some conditions, there exist stable non-constant equilibrium solutions that indicate the coexistence of two strongly competing species. This result motivates us to develop a semi-exact representation for finding these equilibrium solutions from an analytical viewpoint.

引用

页码：179 / 206

页数：28

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