Article ID Journal Published Year Pages File Type
1706962 Applied Mathematical Modelling 2009 9 Pages PDF
Abstract

In this paper, a nonlocal reaction–diffusion model with distributed delay is studied. The asymptotic speed of spread is established for this model, and its coincidence with the minimal wave speed for traveling wave fronts is proved. Moreover, the dependence of the asymptotic speed of spread on delay and the nonlocal effect is considered. Our main finding here is that the delay can induce slow asymptotic speed of spread while the nonlocal effect can increase fast asymptotic speed of spread.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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