Periodic Traveling Waves of a Reaction Diffusion Equation with Non-local Nonlinearity
Date Issued
2012
Date
2012
Author(s)
Chien, Hong-yu
Abstract
In this article, the reaction-diffusion equation arising from population dynamics with
Fisher-type non-local consumptions defined through an interaction integral kernel is concerned. In order to know the impact of the integral kernels on the solutions, we try and
expect that there exist some non-typical traveling waves different from waves of the
classical Fisher equation.
Through the bifurcation and perturbation methods, we can generate periodic
traveling waves of these equations for the asymmetric integral kernels.
By the way, to make the result complete, the existence of solutions for a general
class of integral kernel is shown in section 2 through a little modification of methods
in the references.
Subjects
reaction diffusion equation
non-local nonlinearity
periodic traveling wave
Type
thesis
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