Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with Impulse. (17th June 2013)

• Record Type: Journal Article
• Authors: Luo, Zhenguo; Huang, Jianhua; Luo, Liping; Dai, Binxiang
• Other Names: Zhong Shouming Academic Editor.
• Is Part Of: International journal of engineering mathematics. Volume 2013(2013)
• Publication Date: 2013-06-17
• Subjects: Engineering mathematics -- Periodicals; Engineering mathematics; Electronic journals; Periodicals; 620.00151
• DOI: 10.1155/2013/912858
• Languages: English
• ISSNs: 2356-7007

Abstract

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.