This article concerns the asymptotic speed of spreading in a delay lattice differential equation without quasimonotonicity. We obtain the speed of spreading by constructing an auxiliary undelayed equation, whose speed of spreading is the same as that of the original equation. The minimal wave speed of bounded positive traveling wave solutions is obtained from the asymptotic spreading.
Submitted March 25, 2014. Published October 14, 2014.
Math Subject Classifications: 35C07, 35K57, 37C65.
Key Words: Non-quasimonotone equation; persistence; auxiliary equation; minimal wave speed.
Show me the PDF file (218 KB), TEX file, and other files for this article.
| Fuzhen Wu |
Department of Basic
Zhejiang University of Water Resources and Electric Power
Hangzhou, Zhejiang 310018, China
Return to the EJDE web page