Global attractivity and positive almost periodic solution of a single species population model

被引：6
|
作者：
Yang, Xitao [1 ]
机构：
[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期
基金：
中国国家自然科学基金;
关键词：
global attractivity; almost periodicity; logistic differential equation;
D O I：
10.1016/j.jmaa.2007.02.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
3/2-criterion is built, which guarantees the global attractivity of positive solution for equation having the form x '(t) = a(t)x(t)(1 - L(t, x(t))), where a(t) >= 0 and the linear functional L(t, .) is positive. Moreover, when the equation is almost periodic, the similar conditions can also guarantee the existence and uniqueness of almost periodic solution that is globally attractive. Our results improve those in literature. (c) 2007 Elsevier Inc. All rights reserved.
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页码：111 / 126
页数：16
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