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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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https://hal.inria.fr/inria-00075239
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Submitted on : Wednesday, May 24, 2006 - 5:47:47 PM
Last modification on : Friday, February 4, 2022 - 3:17:28 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 10:00:19 PM

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  • HAL Id : inria-00075239, version 1

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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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