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

2023/04/10 by William Barker, Barker, William
Mathematics · Medicine · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2304.04847

openalex publication_date 2023/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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