Positive Periodic Solutions of Nicholson-Type Delay Systems with Nonlinear Density-Dependent Mortality Terms-Reference-Cited by-同舟云学术

Positive Periodic Solutions of Nicholson-Type Delay Systems with Nonlinear Density-Dependent Mortality Terms

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chen Wei¹,Wang Lijuan²

Affiliation:

1. School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai 201620, China

2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang, Jiaxing 314001, China

Abstract

This paper is concerned with the periodic solutions for a class of Nicholson-type delay systems with nonlinear density-dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example and a numerical simulation are given to illustrate our main results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/843178.pdf

Reference14 articles.

1. On the uniform exponential stability of a wide class of linear time-delay systems

2. Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces

3. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays