Existence of Traveling in a Nicholson Blowfies Model with Delayed Diffusion Term

Abstract

In this paper we consider traveling waves for a diffusive Nicholson Blowflies Equation with different discrete time delays in the diffusion term and birth function. We construct quasi upper and lower solutions via the monotone iteration method. This also allows for the construction of C2 upper and lower solutions, and then traveling wave solutions. We then provide numerical results for the kernel for the iteration.

13 pages, 3 figures