Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 211-222.

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

Xingfu Zou

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.
Mathematics Subject Classifications: 34B99,34C37, 34K99, 35K57.
Key words and phrases: spatially discrete, reaction-diffusion equation, delay, lattice, traveling wave front, upper-lower solution.

Show me the PDF file (132K), TEX file, and other files for this article.


Xingfu Zou
Department of Mathematics and Statistics, University of Victoria
Victoria, BC, Canada V8W 3P4
Curent address: Center for Dynamical Systems and Nonlinear Studies
Georgia Institute of Technology
Atlanta, GA 30332-0190, USA.
Email address: xzou@math.gatech.edu
Return to the Proceedings of Conferences: Electr. J. Diff. Eqns.