TITLE:
Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi-Species Logarithmic Population Model with Multiple Delays and Impulses
AUTHORS:
Zhenguo Luo, Jianhua Huang, Liping Luo, Binxiang Dai
KEYWORDS:
Contraction Mapping Principle; Impulses; Lyapunov Functional; Global Attractivity; Uniqueness; Positive Periodic Solution; Almost Periodic Solution
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.2,
June
20,
2013
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.