| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758483 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 8 Pages |
Abstract
•In this paper, we propose a delayed nonlocal diffusion model with a quiescent stage.•We establish the existence of traveling wave fronts.•We discuss the asymptotic behavior of traveling wave fronts and then get the nonexistence of traveling wave fronts.
In this paper, we propose a delayed nonlocal diffusion model with a quiescent stage and study its dynamics. By using Schauder’s fixed point theorem and upper-lower solution method, we establish the existence of traveling wave fronts for speed c⩾c∗(τ)c⩾c∗(τ), where c∗(τ)c∗(τ) is a critical value. With the method of Carr and Chmaj (PAMS, 2004), we discuss the asymptotic behavior of traveling wave fronts and then get the nonexistence of traveling wave fronts for c
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Authors
Kai Zhou, Yuan Lin, Qi-Ru Wang,