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.