Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 211-222.

Title: Traveling wave fronts in spatially discrete reaction-diffusion 
equations on higher dimensional lattices

Author:  Xingfu Zou (Univ. of Victoria, Victoria, Canada)
 
Abstract: 
This paper deals with the existence of traveling wave fronts of spatially 
discrete reaction-diffusion equations with delay on lattices with general 
dimension. A monotone iteration starting from an upper solution is 
established, and the sequence generated from the iteration is shown to 
converge to a profile function. The main theorem is then applied to a 
particular equation arising from branching theory.

Published November 12, 1998.
Math Subject Classifications: 34B99,34C37, 34K99, 35K57.
Key Words: spatially discrete; reaction-diffusion equation; delay; 
 lattice; traveling wave front; upper-lower solution.