空间非局部带时滞的Hosono-Mimura模型的双稳行波解

Bistable Wave Fronts in the Hosono-Mimura System with Nonlocal Delays

本文讨论了两个物种的竞争Hosono-Mimura模型.首先,我们考虑了该系统对应的非线性系统平衡点的稳定性;然后,我们证明了空间非局部带时滞的Hosono-Mimura竞争扩散系统有联结两个稳定平衡点的行波解.在证明行波解的存在性时,我们通过变换,把空间非局部的时滞模型转化成了个四维的非时滞系统来讨论.

A diffusive Hosono-Mimura type model with nonlocal delays for two competitive species is considered. The first, we studied the stability for equilibriums of the nonlinearities. And then, the existence of traveling wave fronts analogous to a bistable wave front for two competitive species is proved by transforming the system with nonlocal delays to a fourdimensional system without delay.