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2015 THE MINIMAL SPEED OF TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE THREE SPECIES COMPETITION SYSTEM
Jong-Shenq Guo, Yi Wang, Chang-Hong Wu, Chin-Chin Wu
Taiwanese J. Math. 19(6): 1805-1829 (2015). DOI: 10.11650/tjm.19.2015.5373

Abstract

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.

Citation

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Jong-Shenq Guo. Yi Wang. Chang-Hong Wu. Chin-Chin Wu. "THE MINIMAL SPEED OF TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE THREE SPECIES COMPETITION SYSTEM." Taiwanese J. Math. 19 (6) 1805 - 1829, 2015. https://doi.org/10.11650/tjm.19.2015.5373

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.92062
MathSciNet: MR3434279
Digital Object Identifier: 10.11650/tjm.19.2015.5373

Subjects:
Primary: 34A34 , 34K05
Secondary: 34E05 , 34K60

Keywords: Lattice dynamical system , linear determinacy , minimal speed , three species competition system , Traveling wave

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 6 • 2015
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