Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi-Species Logarithmic Population Model with Multiple Delays and Impulses

Zhenguo Luo, Jianhua Huang, Liping Luo, Binxiang Dai

Department of Mathematics, Hengyang Normal University, Hengyang, China.
Department of Mathematics, National University of Defense Technology, Changsha, China.
School of Mathematical Sciences and Statistics, Central South University, Changsha, China.

DOI: 10.4236/ojapps.2013.32032                

Abstract

In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and generalize the known ones in [1], as an application, we also give an example to illustrate the feasibility of our main results.

Keywords

Contraction Mapping Principle; Impulses; Lyapunov Functional; Global Attractivity; Uniqueness; Positive Periodic Solution; Almost Periodic Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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