Permanence for a nonautonomous discrete single-species system with delays and feedback control

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PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA–VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS

The paper discusses nonautonomous discrete Lotka–Volterra type n-species competitive systems with pure-delays and feedback controls. New sufficient conditions for which a part of the n-species remains permanent and others is driven to extinction are established by using the method of multiple discrete Lyapunov functionals and introducing new analysis technique. Our results show that the feedbac...

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2010

ISSN: 0893-9659

DOI: 10.1016/j.aml.2009.12.008