Global dynamics of a family of 3D Lotka-Volterra Systems

• DOI: 10.1080/14689360903575196

In this paper we analyse the flow of a family of three dimensional Lotka-Volterra systems restricted to an invariant and bounded region.
We conclude that the behaviour of the flow in the interior of this region is very simple: either every orbit is a periodic orbit or they move from one boundary to another. We also characterise some of the bifurcations taking place at the boundary of the invariant region.

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