Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls

Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls
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DOI:
10.1016/j.jmaa.2007.09.075
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发表时间:
2008-05-15
影响因子:
1.3
通讯作者:
Cao, Xiaohong
Cao, Xiaohong
中科院分区:
数学3区
文献类型:
--
作者:
Chen, Fei;Cao, Xiaohong

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研究了具有反馈控制的比率依赖型Leslie系统。利用比较定理,通过构造适当的Lyapunov函数,得到了存在唯一概周期解(周期解)和解的全局吸引性的一些充分条件。算例表明,所得到的准则是新的、通用的、易于验证的。(C)2007 Elsevier Inc.保留所有权利。
A ratio-dependent Leslie system with feedback controls is studied. By using a comparison theorem and constructing a suitable Lyapunov function, some sufficient conditions for the existence of a unique almost periodic solution (periodic solution) and the global attractivity of the solutions are obtained. Examples show that the obtained criteria are new, general, and easily verifiable. (C) 2007 Elsevier Inc. All rights reserved.