Time periodic solutions of the diffusive Nicholson blowflies equation with delay

被引：6

作者：

Pang, Peter Y. H. ^{[1
]}

Wang, Yifu ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 22卷

关键词：

Nonlinear diffusion equation; Periodic solution; Time delay; Attractivity; DEGENERATE PARABOLIC EQUATIONS; TRAVELING WAVE-FRONTS; GLOBAL ATTRACTIVITY; BOUNDARY-CONDITION; EXISTENCE; UNIQUENESS; COEXISTENCE; STABILITY; DYNAMICS; MODEL;

D O I：

10.1016/j.nonrwa.2014.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：44 / 53

页数：10

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