Shuang Li, Peixuan Weng
Abstract:
This article concerns the existence of traveling wavefronts for a nonlocal
diffusive predator-prey system with functional response of Holling type II.
We first establish the existence principle for the system with a general
functional response by using a fixed point theorem and upper-lower solution
technique. We apply this result to a predator-prey model with Holling type II
functional response. We deduce the existence of traveling wavefronts that
connect the zero equilibrium and the positive equilibrium.
Submitted June 24, 2013. Published June 10, 2015.
Math Subject Classifications: 45K05, 35K57, 92D25.
Key Words: Traveling wavefront; nonlocal diffusive predator-prey system;
functional response of Holling type II; upper-lower solutions.
Show me the PDF file (294 KB), TEX file, and other files for this article.
Shuang Li School of Mathematics South China Normal University Guangzhou 510631, China email: lemonls@163.com | |
Peixuan Weng School of Mathematics South China Normal University Guangzhou 510631, China email: wengpx@scnu.edu.cn |
Return to the EJDE web page