This article concerns the traveling wave solutions of nonlocal delay reaction-diffusion equations without local quasimonotonicity. The existence of traveling wave solutions is obtained by constructing upper-lower solutions and passing to a limit function. The nonexistence of traveling wave solutions is also established by the theory of asymptotic spreading. The results are applied to a food limit model with nonlocal delays, which completes and improves some known results.
Submitted July 1, 2013. Published March 7, 2014.
Math Subject Classifications: 35C07, 35K57, 37C65.
Key Words: Minimal wave speed; asymptotic spreading; large delays
Show me the PDF file (233 KB), TEX file, and other files for this article.
| Shuxia Pan |
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
Return to the EJDE web page