Global dynamics of the May-Leonard system with a Darboux invariant

We study the global dynamics of the classic May-Leonard model in $\mathbb{R}^3$. Such model depends on two real parameters and its global dynamics is known when the system is completely integrable. Using the Poincare compactification on $\mathbb R^3$ we obtain the global dynamics of the classical...

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Bibliographic Details
Main Authors: Regilene Oliveira, Claudia Valls
Format: Article
Language:English
Published: Texas State University 2020-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/55/abstr.html