Existence and attractivity of time periodic solutions for Nicholson's blowflies model with nonlinear diffusion

被引：3

作者：

Yang, Ying ^{[1
]}

Yin, Jingxue ^{[2
]}

Jin, Chunhua ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 12期

关键词：

polytropic filtration equation; periodic solution; delay; attractor; EQUATION; STABILITY;

D O I：

10.1002/mma.2932

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and attractivity of time periodic solutions for one-dimensional Nicholson's blowflies model with nonlinear diffusion. By constructing some suitable Lyapunov functionals and combining with Leray-Schauder fixed point theorem, we establish the existence of nonnegative time periodic solutions. Using the method of upper and lower solutions and its associated monotone iterations, we obtain the existence of the attractor for this model. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：1736 / 1754

页数：19

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