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

作　　者：张存华 颜向平 

机构地区：[1]Department of Mathematics,Lanzhou Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第3期385-392,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10961017);the"Qing Lan" Talent Engineering Funds of Lanzhou Jiaotong University (No. QL-05-20A)

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.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.

关 键 词：diffusive Nicholson＇s blowflies equation nonlocal delay strong generic kernel travelling wavefront solution 

分 类 号：O175.26[理学—数学]