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Global behavior of N competing species with strong diffusion: diffusion leads to exclusion

Abstract : It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an heterogeneous environment. We propose a spatially heterogeneous system modeling the competition of several species for a single resource. If spatial movements are fast enough, we show that our system can be well approximated by a spatially homogeneous system, called aggregated model, which can be explicitly computed. Moreover, we show that if the competitive exclusion principle holds for the aggregated model, it holds for the spatially heterogeneous model too.
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https://hal.archives-ouvertes.fr/hal-01026195
Contributor : Sten Madec <>
Submitted on : Monday, July 21, 2014 - 9:25:33 AM
Last modification on : Tuesday, March 17, 2020 - 2:55:13 AM
Document(s) archivé(s) le : Tuesday, April 11, 2017 - 3:20:14 PM

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François Castella, Sten Madec, Yvan Lagadeuc. Global behavior of N competing species with strong diffusion: diffusion leads to exclusion. Applicable Analysis, Taylor & Francis, 2016, 95 (2), pp.341-372. ⟨10.1080/00036811.2015.1004320⟩. ⟨hal-01026195⟩

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