Stable equilibria in the Lotka-Volterra equations
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914463725125632 |
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| author | Aspenberg, Magnus Martens, Erik Waldetoft, Kristofer Wollein |
| author_facet | Aspenberg, Magnus Martens, Erik Waldetoft, Kristofer Wollein |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13347 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable equilibria in the Lotka-Volterra equations Aspenberg, Magnus Martens, Erik Waldetoft, Kristofer Wollein Populations and Evolution Dynamical Systems 92-10, 92D25, 37N25 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. |
| title | Stable equilibria in the Lotka-Volterra equations |
| topic | Populations and Evolution Dynamical Systems 92-10, 92D25, 37N25 |
| url | https://arxiv.org/abs/2512.13347 |