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Periodic Traveling Wave Solutions for Reaction diffusion Equations with Time Delayed and Non-Local Response
by
Wenzhang Huang
University of Alabama in Huntsville
Coauthors: Dawn Duehring
We develop a singular perturbation technique to obtain the existence of periodic traveling wave solutions of large wave speed for reaction diffusion equations with delayed non-local response. Unlike the classical singular perturbation method, our approach is based on a transformation of the differential equations to integral equations in a Banach space that reduces the singular perturbation problem to a regular perturbation problem. The general result obtained has an application to a model describing the population growth when the species has two age classes and the diffusion of the individual during the maturation process leads to an interesting non-local and delayed response for the matured population.
Date received: October 13, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # carm-71.