非局部时滞竞争扩散系统行波解

摘要

The traveling wave solutions of a competitive system with nonlocal delay are concerned.By combining fixed point theorem with generalized upper and lower solutions,the existence of traveling wave solutions is established.Then the asymptotic behavior of traveling wave solutions is obtained by the idea of contracting rectangles.Finally,the nonexistence of traveling wave solutions is proved by the theory of asymptotic spreading.%研究了非局部时滞竞争系统行波解。将不动点定理与广义上下解结合证明了行波解的存在性，利用压缩矩形的思想得到了行波解的渐近性态，最后利用渐近传播理论研究了行波解的不存在。