Journal
JOURNAL OF NONLINEAR SCIENCE
Volume 17, Issue 6, Pages 505-525Publisher
SPRINGER
DOI: 10.1007/s00332-007-9003-9
Keywords
Nicholson's blowflies model; reaction-diffusion; nonlocal delay; travelling wave-front
Categories
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available