Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls
Author(s) -
Gang Yu,
Hongying Lu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/358594
Subject(s) - mathematics , periodic system , discrete time and continuous time , control theory (sociology) , mathematical analysis , statistics , control (management) , computer science , artificial intelligence
We consider a discrete almost periodic ratio-dependent Lesliesystem with time delays and feedback controls. Sufficient conditions are obtainedfor the permanence and global attractivity of the system. Furthermore, by using analmost periodic functional Hull theory, we show that the almost periodic systemhas a unique globally attractive positive almost periodic solution
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