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arXiv · 2512.13347

Stable equilibria in the Lotka-Volterra equations

Magnus Aspenberg·Erik Martens·Kristofer Wollein Waldetoft
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Abstract

We consider the Lotka-Volterra system and provide necessary conditions for an equilibrium to be stable. Our results naturally complement earlier fundamental results by N. Adachi, Y. Takeuchi, and H. Tokumaru, who, in a series of papers, give sufficient (and for some cases necessary) conditions for the existence of a stable equilibrium point.

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Magnus Aspenberg, Erik Martens, Kristofer Wollein Waldetoft. 2026-04-10. Stable equilibria in the Lotka-Volterra equations. https://arxiv.org/abs/2512.13347

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