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- Title
Traveling wave solutions of n-dimensional delayed reaction-diffusion systems and application to four-dimensional predator-prey systems.
- Authors
Shang, Xiaohui; Du, Zengji; Lin, Xiaojie
- Abstract
This paper deals with the existence of traveling wave solutions for n-dimensional delayed reaction-diffusion systems. By using Schauder's fixed point theorem, we establish the existence result of a traveling wave solution connecting two steady states by constructing a pair of upper-lower solutions that are easy to construct. As an application, we apply our main results to a four-dimensional delayed predator-prey system and obtain the existence of traveling wave solutions. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
TRAVELING waves (Physics); FIXED point theory; POPULATION dynamics; ECOSYSTEMS; DIFFERENTIAL equations
- Publication
Mathematical Methods in the Applied Sciences, 2016, Vol 39, Issue 6, p1607
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3595