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Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls

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Abstract

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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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China

    Jiabo Xu, Zhidong Teng & Haijun Jiang

Authors
  1. Jiabo Xu
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  2. Zhidong Teng
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  3. Haijun Jiang
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Correspondence to Zhidong Teng.

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Communicated by László Hatvani

Supported by The National Natural Science Foundation of P.R. China (60764003), The Major Project of The Ministry of Education of P.R. China (207130) and The Scientific Research Programmes of Colleges in Xinjiang (XJEDU2007G01, XJEDU2006I05).

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Xu, J., Teng, Z. & Jiang, H. Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls. Period Math Hung 63, 19–45 (2011). https://doi.org/10.1007/s10998-011-7019-2

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  • DOI: https://doi.org/10.1007/s10998-011-7019-2

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