Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 3

Traveling Wavefronts in a Single Species Model with Nonlocal Diffusion and Age-Structure

Pages
377–384
DOI
—

Abstract

This paper is concerned with the existence of monotone traveling wavefronts in a single species model with nonlocal diffusion and age-structure. We first apply upper and lower solution technique to prove the result if the wave speed is larger than a threshold depending only on the basic parameters. When the wave speed equals to the threshold, we show the conclusion by passing to a limit function.

Özet

This paper is concerned with the existence of monotone traveling wavefronts in a single species model with nonlocal diffusion and age-structure. We first apply upper and lower solution technique to prove the result if the wave speed is larger than a threshold depending only on the basic parameters. When the wave speed equals to the threshold, we show the conclusion by passing to a limit function.

Keywords: Age-structure, nonlocal diffusion, traveling wavefront, upper and lower solutions.