[KSCI] Korea Science Citation Index Service

WAVEFRONT SOLUTIONS IN THE DIFFUSIVE NICHOLSON'S BLOWFLIES EQUATION WITH NONLOCAL DELAY

Zhang, Cun-Hua (Department of Mathematics, Lanzhou Jiaotong University)

Publication Information

Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 49-58 More about this Journal

Abstract

In the present article we consider the diffusive Nicholson's blowflies equation with nonlocal delay incorporated into an integral convolution over all the past time and the whole infinite spatial domain $\mathbb{R}$ . When the kernel function takes a special function, we construct a pair of lower and upper solutions of the corresponding travelling wave equation and obtain the existence of travelling fronts according to the existence result of travelling wave front solutions for reaction diffusion systems with nonlocal delays developed by Wang, Li and Ruan (J. Differential Equations, 222(2006), 185-232).

Keywords

Nicholson's blowflies equation; reaction-diffusion; nonlocal delay; travelling wave front;

Citations & Related Records

Reference

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