Permanence and periodic solutions for a class of delay Nicholson's blowflies models

被引：31

作者：

Hou, Xinhua ^{[1
]}

Duan, Lian ^{[2
]}

Huang, Zuda ^{[3
]}

机构：

[1] Hunan Ind Polytech, Changsha 410208, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

[3] Hunan Univ Arts & Sci, Coll Math & Comp Sci, Changde 415000, Hunan, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 03期

关键词：

Nicholson's blowflies model; Permanence; Positive periodic solution; Coincidence degree; Nonlinear density-dependent mortality term;

D O I：

10.1016/j.apm.2012.04.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper covers the dynamic behaviors for a class of Nicholson's blowflies models with a nonlinear density-dependent mortality term. By using inequality analyze technique and coincidence degree theory, some sufficient conditions are determined that guarantee the permanence of the model and the existence of positive periodic solutions. Moreover, we give an example to illustrate our main results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1537 / 1544

页数：8

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