Time periodic solutions of the diffusive Nicholson blowflies equation with delay. (April 2015)

• Record Type: Journal Article
• Authors: Pang, Peter Y.H.; Wang, Yifu
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 44
• Page End: 53
• Publication Date: 2015-04
• Subjects: Nonlinear diffusion equation -- Periodic solution -- Time delay -- Attractivity; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.07.014
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with the Nicholson blowflies equation with nonlinear diffusion and time delay subject to the homogeneous Dirichlet boundary condition in a bounded domain. We establish the existence of nontrivial periodic solutions of the time-periodic problem under general conditions by constructing a coupled upper–lower solution pair and by applying the Schauder fixed point theorem. The attractivity of the periodic solutions is also discussed by using the monotone iteration method.