Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (3): 385-392.doi: https://doi.org/10.1007/s10483-010-0311-x

• Articles • 上一篇    下一篇

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

张存华 颜向平   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China
  • 收稿日期:2009-09-09 修回日期:2010-01-23 出版日期:2010-03-01 发布日期:2010-03-01

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

 ZHANG Cun-Hua, YAN Xiang-Ping   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China
  • Received:2009-09-09 Revised:2010-01-23 Online:2010-03-01 Published:2010-03-01

摘要: 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.

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.

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