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2016 Temporally Discrete Three-species Lotka-Volterra Competitive Systems with Time Delays
Qiankun Bian, Weiguo Zhang, Zhixian Yu
Taiwanese J. Math. 20(1): 49-75 (2016). DOI: 10.11650/tjm.20.2016.5597

Abstract

In this paper, we investigate the existence of traveling wave solutions for three components temporally discrete reaction-diffusion systems with delays by using the cross iteration method and Schauder's fixed point theorem. The obtained results are well applied to a temporally discrete three-species Lotka-Volterra competitive systems with delays.

Citation

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Qiankun Bian. Weiguo Zhang. Zhixian Yu. "Temporally Discrete Three-species Lotka-Volterra Competitive Systems with Time Delays." Taiwanese J. Math. 20 (1) 49 - 75, 2016. https://doi.org/10.11650/tjm.20.2016.5597

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.35177
MathSciNet: MR3462867
Digital Object Identifier: 10.11650/tjm.20.2016.5597

Subjects:
Primary: 35K57 , 92D25

Keywords: reaction-diffusion systems , Schauder's fixed point theorem , traveling wave solutions , upper-Lower solution , weak quasi-monotonicity

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 1 • 2016
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