Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with ImpulseReport as inadecuate




Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with Impulse - Download this document for free, or read online. Document in PDF available to download.

International Journal of Engineering MathematicsVolume 2013 2013, Article ID 912858, 12 pages

Research Article

Department of Mathematics, National University of Defense Technology, Changsha 410073, China

Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China

School of Mathematical Sciences and Statistics, Central South University, Changsha, Hunan 410075, China

Received 28 January 2013; Accepted 15 April 2013

Academic Editor: Shouming Zhong

Copyright © 2013 Zhenguo Luo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Suffiicient and realistic conditions are established in this paper for the existence and global attractivity of a positive periodic solution to the neutral multidelay logarithmic population model with impulse by using the theory of abstract continuous theorem of k-set contractive operator and some inequality techniques. The results improve and generalize the known ones in Li 1999, Lu and Ge 2004, Y. Luo and Z. G. Luo 2010, and Wang et al. 2009. As an application, we also give an example to illustrate the feasibility of our main results.





Author: Zhenguo Luo, Jianhua Huang, Liping Luo, and Binxiang Dai

Source: https://www.hindawi.com/



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