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arXiv · 2403.08981

A Game Theoretic Approach to Sustainizability Over Sets and its application to a multi-species population model

Ioannis V. Manousiouthakis·Vasilios I. Manousiouthakis
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Abstract

In this work, a theorem is first proved which presents a game theoretic formulation of a necessary and sufficient sustainizability over a set condition for a general system described by ordinary differential equations (ODEs). Then, two additional theorems are proved for the n-species Gause-Lotka-Volterra (GLV) population model, establishing necessary and sufficient sustainability and sustainizability conditions over rectangular sets. Three case studies on the May-Leonard, 3-species, GLV model are then presented to illustrate the power of the above Theorems. In two of these case studies (2 and 3), it is shown that a particular instance of the 3-species, GLV model is unsustainable but sustainizable through allowable action.

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Ioannis V. Manousiouthakis, Vasilios I. Manousiouthakis. 2024-03-13. A Game Theoretic Approach to Sustainizability Over Sets and its application to a multi-species population model. https://arxiv.org/abs/2403.08981

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