Feng Cao, Lu Gao
Abstract:
This article studies the existence and non-existence of transition fronts
for a two species competition lattice system in random media, and explores
the influence of randomness of the media on the wave profiles and wave speeds
of such transition fronts. We first establish comparison principle for sub-solutions
and super-solutions of the related cooperative system. Next, under some proper
assumptions, we construct appropriate sub-solutions and super-solutions for the
cooperative system. Finally, we show that random transition fronts exist if their
least mean speed is greater than an explicit threshold and there is no random
transition front with least mean speed less than the threshold.
Submitted December 16, 2019. Published April 26, 2020.
Math Subject Classifications: 35C07, 34K05, 34A34, 34K60.
Key Words: Transition fronts; competition systems; lattice systems;
random media.
DOI: 10.58997/ejde.2020.38
Show me the PDF file (386 KB), TEX file for this article.
 |
Feng Cao Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu 210016, China email: fcao@nuaa.edu.cn |
|---|---|
 |
Lu Gao Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu 210016, China email: gaolunuaa@163.com |
Return to the EJDE web page