Journal
PERIODICA MATHEMATICA HUNGARICA
Volume 63, Issue 1, Pages 19-45Publisher
AKADEMIAI KIADO RT
DOI: 10.1007/s10998-011-7019-2
Keywords
discrete Lotka-Volterra system; feedback controls; delay; permanence; attractivity; discrete Lyapunov functional
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Funding
- National Natural Science Foundation of P.R. China [60764003]
- Ministry of Education of P.R. China [207130]
- Scientific Research Programmes of Colleges in Xinjiang [XJEDU2007G01, XJEDU2006I05]
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A discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls is proposed and investigated. By using the method of discrete Lyapunov functionals, new sufficient conditions on the permanence of species and global attractivity of the system are established. Particularly, an interesting fact is found in our results, that is, the feedback controls are harmless to the permanence of species for the considered system.
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