Global analytic first integrals for the real planar Lotka-Volterra system

2007/03/01 by Jaume Llibre, Clàudia Valls, Clàudìa Valls · 3 citations
Mathematics · Physics and Astronomy · Medicine · #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons #Mathematical and Theoretical Epidemiology and Ecology Models

paper · doi:10.1063/1.2713076

Abstract

We provide the complete classification of all Lotka-Volterra systems of the form ẋ=x(ax+by+c) and ẏ=y(Ax+By+C) in R2 having a global analytic first integral.

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