Traveling waves and spreading speeds for time-space periodic monotone systems
Analysis of PDEs
2015-04-16 v1
Abstract
The theory of traveling waves and spreading speeds is developed for time-space periodic monotone semiflows with monostable structure. By using traveling waves of the associated Poincar\'e maps in a strong sense, we establish the existence of time-space periodic traveling waves and spreading speeds. We then apply these abstract results to a two species competition reaction-advection-diffusion model. It turns out that the minimal wave speed exists and coincides with the single spreading speed for such a system no matter whether the spreading speed is linearly determinate. We also obtain a set of sufficient conditions for the spreading speed to be linearly determinate.
Keywords
Cite
@article{arxiv.1504.03788,
title = {Traveling waves and spreading speeds for time-space periodic monotone systems},
author = {Jian Fang and Xiao Yu and Xiao-Qiang Zhao},
journal= {arXiv preprint arXiv:1504.03788},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1410.4591