Open Mathematics (Mar 2017)

Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls

  • Lu Lin,
  • Lian Yi,
  • Li Chaoling

DOI
https://doi.org/10.1515/math-2017-0023
Journal volume & issue
Vol. 15, no. 1
pp. 218 – 232

Abstract

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This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.

Keywords