Stability analysis of an ecological model

Frédéric Mazenc 1, 2 Claude Lobry 2 Alain Rapaport 1
2 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : For a new family of ecological systems, we prove the global asymptotic stability of a positive equilibrium point. That way, we show how the consideration of an intra-specific dependency in the population growth functions can explain not only the persistence of several species in. competition for a single resource but, also attractivity of a positive equilibrium point.
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  • HAL Id : hal-01189603, version 1
  • PRODINRA : 51643



Frédéric Mazenc, Claude Lobry, Alain Rapaport. Stability analysis of an ecological model. Positive Systems, 341, Springer-Verlag, 2006, Lecture Notes in Control and Information Sciences, 978-3-540-34771-2. ⟨hal-01189603⟩



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