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Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay

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  • Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China

Received date: 2009-09-09

  Revised date: 2010-01-23

  Online published: 2010-03-01

Abstract

This paper is concerned with the diffusive Nicholson’s blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain R. Assume that the delay kernel is a strong generic kernel. By the linear chain techniques and the geometric singular perturbation theory, the existence of travelling front solutions is shown for small delay.

Cite this article

ZHANG Cun-Hua;YAN Xiang-Ping . Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay[J]. Applied Mathematics and Mechanics, 2010 , 31(3) : 385 -392 . DOI: 10.1007/s10483-010-0311-x

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