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arXiv · 2010.16180

Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems

Charalampos Evripidou·Pavlos Kassotakis·Pol Vanhaecke
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Abstract

We study the basic relation between skew-symmetric Lotka-Volterra systems and graphs, both at the level of objects and morphisms, and derive a classification from it of skew-symmetric Lotka-Volterra systems in terms of graphs as well as in terms of irreducible weighted graphs. We also obtain a description of their automorphism groups and of the relations which exist between these groups. The central notion introduced and used is that of decloning of graphs and of Lotka-Volterra systems. We also give a functorial interpretation of the results which we obtain.

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Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke. 2020-10-30. Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems. https://arxiv.org/abs/2010.16180

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