This article is cited in 4 papers

Kolmogorov system with explicit hyperbolic limit cycle

Salah Benyoucef^a, Ahmed Bendjeddou<sup>b

a</sup> Department of Mathematics, Faculty of sciences University Badji Mokhtar-Annaba, Algeria
^b University of Setif 1, department of Mathematics, 19000, Algeria

Abstract: A class of Kolmogorov differential system is introduced.We show that under suitable assumptions on parameters, an algebraic hyprbolic limit cycle can occur, the explicit expression of this limit cycle is given.

Keywords: Kolmogorov differential system, invariant curve, singular point, periodic solution, algebraic limit cycle.

UDC: 517.5

Received: 07.08.2016
Received in revised form: 10.01.2017
Accepted: 06.02.2017

Language: English

DOI: 10.17516/1997-1397-2017-10-2-216-222

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