THE MINIMAL SPEED OF TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE THREE SPECIES COMPETITION SYSTEM

被引：36

作者：

Guo, Jong-Shenq ^{[1
]}

Wang, Yi ^{[2
]}

Wu, Chang-Hong ^{[3
]}

Wu, Chin-Chin ^{[4
]}

机构：

[1] Tamkang Univ, Dept Math, New Taipei 25137, Taiwan

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[3] Natl Univ Tainan, Dept Appl Math, Tainan 700, Taiwan

[4] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 06期

关键词：

Three species competition system; Lattice dynamical system; Traveling wave; Minimal speed; Linear determinacy; LATTICE DYNAMICAL-SYSTEM; MONOSTABLE EQUATIONS; EXISTENCE; UNIQUENESS; MODELS; PROPAGATION; DETERMINACY; STABILITY; FRONTS;

D O I：

10.11650/tjm.19.2015.5373

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the minimal speed of traveling wave solutions for a diffusive three species competition system. Our main concern is the linear determinacy for the minimal speed. We provide some conditions on the parameters of the competition system such that the linear determinacy is assured. The main idea is by studying the linear determinacy of the corresponding approximated lattice dynamical systems and using the discrete Fourier transform.

引用

页码：1805 / 1829

页数：25

共 23 条

[1]

[Anonymous], 1979, LECT NOTES BIOMATHEM

[2] EXACT TRAVELLING WAVE SOLUTIONS OF THREE-SPECIES COMPETITION DIFFUSION SYSTEMS [J].