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On the invariant rational curves of a certain family of polynomial differential equations.

Authors :
DÍAZ–MARÍN, HOMERO
OSUNA, OSVALDO
Source :
Revista Colombiana de Matemáticas. 2022, Vol. 56 Issue 1, p93-111. 19p.
Publication Year :
2022

Abstract

In this work, we present sufficient conditions to determine if the limit cycles of certain differential systems in the plane are algebraic or not. In particular, we obtain criteria such that the limit cycles of equations derived from predatory prey models with rational functional response are necessarily transcendental ovals. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00347426
Volume :
56
Issue :
1
Database :
Academic Search Index
Journal :
Revista Colombiana de Matemáticas
Publication Type :
Academic Journal
Accession number :
163296870
Full Text :
https://doi.org/10.15446/recolma.v56n1.105621