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具时滞和反馈控制的离散互惠系统的概周期解
引用本文:张杰华.具时滞和反馈控制的离散互惠系统的概周期解[J].延边大学理工学报,2016,0(2):108-114.
作者姓名:张杰华
作者单位:阳光学院 基础教研部, 福建 福州 350015
摘    要:研究具有时滞和反馈控制的两种群离散互惠系统模型,通过运用差分不等式和构造适当的Lyapunov函数,证明了该系统具有持久性和全局吸引性.利用差分概周期方程的壳理论,得到了保证该系统存在唯一的概周期解的充分条件.

关 键 词:概周期解  全局吸引性  时滞  反馈控制  互惠系统

Almost periodic solutions of a delayed discrete mutualism model with feedback controls
ZHANG Jiehua.Almost periodic solutions of a delayed discrete mutualism model with feedback controls[J].Journal of Yanbian University (Natural Science),2016,0(2):108-114.
Authors:ZHANG Jiehua
Affiliation:Department of Basic Teaching and Research, Yango College, Fuzhou 350015, China
Abstract:A two species discrete mutualism system with time delay and feedback controls is studied in this paper. By using the difference inequality theory and constructing the suitable Lyapunov functional, we show that the system is permanent and globally attractive. Further, by applying almost periodic functional hull theory, we obtain a set of sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic sequence solution of the system.
Keywords:almost periodic solution  global attractive  delay  feedback controls  mutualism systems
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