Abstract

In this work we consider the Lotka-Volterra system in Double-struck capital R-3 introduced recently in [7], and studied also in [8] and [14]. In the first two papers the authors mainly studied the integrability of this differential system, while in the third paper they studied the system as a Hamilton- Poisson system, and also started the analysis of its dynamics. Here we provide the global phase portraits of this 3-dimensional Lotka-Volterra system in the Poincare ball, that is in Double-struck capital R-3 adding its extension to the infinity.