Final evolutions of a class of May-Leonard Lotka-Volterra systems
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Taylor & Francis Ltd
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Abstract
We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = -1. For these values of the parameters we shall describe its global dynamics in the compactification of the non-negative octant of Double-struck capital R-3 including its infinity. This can be done because this differential system possesses a Darboux invariant.
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Keywords
May-Leonard system, Lotka-Volterra system, invariant, global dynamics
Language
English
Citation
Journal Of Nonlinear Mathematical Physics. Abingdon: Taylor & Francis Ltd, v. 27, n. 2, p. 267-278, 2020.
