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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 16

Permanence for a discrete competitive system with feedback controls

Shengbin Yu

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Abstract

A nonautonomous discrete competitive system with nonlinear inter-inhibition terms and feedback controls is studied in this paper. By using difference inequality theory, a set of conditions which guarantee the permanence of system is obtained. The results indicate that feedback control variables have no influence on the persistent property of the system. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results.

Published
11 May 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Shengbin Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. Yu, Permanence for a discrete competitive system with feedback controls, Commun. Math. Biol. Neurosci. 2015 (2015), 16.

BibTeX
@article{Yu2015,
  author  = {Yu, Shengbin},
  title   = {Permanence for a discrete competitive system with feedback controls},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {16},
  doi     = {}
}