%0 Journal Article
%T Traveling wave fronts in spatially discrete reaction-diffusion equations on higher dimensional lattices
%A Xingfu Zou
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X 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.
%K spatially discrete
%K reaction-diffusion equation
%K delay
%K lattice
%K traveling wave front
%K upper-lower solution.
%U http://ejde.math.txstate.edu/conf-proc/01/z1/abstr.html