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- Title
On the Diffusive Nicholson’s Blowflies Equation with Nonlocal Delay.
- Authors
Li, W.-T.; Ruan, S.; Wang, Z.-C.
- Abstract
This paper is concerned with the diffusive Nicholson’s blowflies model with nonlocal (or spatiotemporal) delay. When the spatial variable is one-dimensional, we establish the existence of travelling wave-front solutions by using the approach developed by Wang, Li, and Ruan (J. Differ. Equ. 222, 185–232, 2006) on the existence of travelling front solutions of reaction–diffusion systems with nonlocal delay. Moreover, we consider the dependence of the minimal wave speed on the delay and the mobility of the population. Our main finding here is that delay can induce slow travelling wave-fronts and the mobility of the population can increase fast travelling wave-fronts. In particular, if we choose some special kernel forms, then our results include and improve some known results.
- Subjects
DIFFUSION; SPATIAL analysis (Statistics); KERNEL functions; SPATIAL systems; COMPLEX variables
- Publication
Journal of Nonlinear Science, 2007, Vol 17, Issue 6, p505
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-007-9003-9