Global behaviour of n-dimensional Lotka-Volterra systems

Abstract : In this paper we study the behaviour of Lotka-Volterra systems; the principal tools are results from positivity and auxiliary functions that decrease along the trajectories; one typical result is that, if a decomposition of the interaction matrix into a product of a symmetric and an off-diagonal nonnegative matrix is possible, then all the trajectories either go to equilibria or cannot remain in any compact set of the interior of the positive orthant.
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Rapport
[Research Report] RR-1321, INRIA. 1990, pp.11
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https://hal.inria.fr/inria-00075239
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Soumis le : mercredi 24 mai 2006 - 17:47:47
Dernière modification le : samedi 27 janvier 2018 - 01:31:00
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Jean-Luc Gouzé. Global behaviour of n-dimensional Lotka-Volterra systems. [Research Report] RR-1321, INRIA. 1990, pp.11. 〈inria-00075239〉

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