Journal of Nonlinear Mathematical Physics

Volume 23, Issue 1, January 2016, Pages 21 - 27

On the dynamics of a class of rational Kolmogorov systems

Authors
Rachid Boukoucha
Department of Mathematics, Faculty of Exact Sciences and Informatics, University of Jijel, 18000 Jijel, Algeria, rachid_boukecha@yahoo.fr
Ahmed Bendjeddou
Departement de Mathematics, Faculty of Sciences, University of Setif, 19000 Setif, Algeria, bendjeddou@univ-setif.dz
Received 25 August 2015, Accepted 22 September 2015, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2016.1135629How to use a DOI?
Keywords
Kolmogorov System, First Integral, Periodic Orbits, Limit Cycle
Abstract

In this paper we are intersted in studying the existence of a First integral and the non-existence of limit cycles of rational Kolmogorov systems of the form

{x=x(P(x,y)+R(x,y)S(x,y)),y=y(Q(x,y)+R(x,y)S(x,y)),
where P (x, y) , Q (x, y) , R (x, y) , S (x, y) are homogeneous polynomials of degree n, n, m, a respectively.

Copyright
© 2016 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
23 - 1
Pages
21 - 27
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2016.1135629How to use a DOI?
Copyright
© 2016 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Rachid Boukoucha
AU  - Ahmed Bendjeddou
PY  - 2021
DA  - 2021/01
TI  - On the dynamics of a class of rational Kolmogorov systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 21
EP  - 27
VL  - 23
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2016.1135629
DO  - https://doi.org/10.1080/14029251.2016.1135629
ID  - Boukoucha2021
ER  -