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Reports (Research Report) Year : 1990

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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Other [cs.OH]
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Dates and versions

inria-00075239 , version 1 (24-05-2006)

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  • HAL Id : inria-00075239 , version 1

Cite

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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