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

作　　者：Zhenguo Luo Jianhua Huang Liping Luo Binxiang Dai 

机构地区：[1]Department of Mathematics, Hengyang Normal University, Hengyang, China [2]Department of Mathematics, National University of Defense Technology, Changsha, China [3]School of Mathematical Sciences and Statistics, Central South University, Changsha, China

出　　处：《Open Journal of Applied Sciences》2013年第2期247-262,共16页应用科学（英文）

摘　　要：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.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.

关 键 词：Contraction Mapping Principle IMPULSES Lyapunov Functional Global ATTRACTIVITY Uniqueness POSITIVE PERIODIC SOLUTION ALMOST PERIODIC SOLUTION 

分 类 号：O1[理学—数学]