Zhaoquan Xu, Peixuan Weng
Abstract:
This article concerns the existence of traveling waves in a diffusive
predator-prey model with general functional response.
By applying the Schauder fixed theorem, we establish existence results
of traveling wave solutions. The results are then applied to the
predator-prey model with Holling type-II response.
Our results indicate that there is a transition zone moving from the
state with no species to the coexistence state of both species.
Submitted February 20, 2012. Published November 10, 2012.
Math Subject Classifications: 34C12, 34C37, 35K57, 92D25.
Key Words: Traveling waves; general functional response;
Schauder's fixed theorem.
Show me the PDF file (251 KB), TEX file, and other files for this article.
Peixuan Weng School of Mathematics, South China Normal University Guangzhou 510631, China email: wengpx@scnu.edu.cn, Tel: 0086-20-85213533 | |
Zhaoquan Xu School of Mathematics, South China Normal University Guangzhou 510631, China email: xiaozhao20042008@163.com |
Return to the EJDE web page