Global stability for a model of competition in the chemostat with microbial inputs
Author | dc.contributor.author | Robledo Veloso, Gonzalo | es_CL |
Author | dc.contributor.author | Grognard, Frédéric | |
Author | dc.contributor.author | Gouzé, Jean-Luc | es_CL |
Admission date | dc.date.accessioned | 2012-05-15T16:23:43Z | |
Available date | dc.date.available | 2012-05-15T16:23:43Z | |
Publication date | dc.date.issued | 2012 | |
Cita de ítem | dc.identifier.citation | Nonlinear Analysis: Real World Applications 13 (2012) 582–598 | es_CL |
Identifier | dc.identifier.other | doi:10.1016/j.nonrwa.2011.07.049 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/119395 | |
Abstract | dc.description.abstract | We propose a model of competition of n species in a chemostat, with constant input of some species. We mainly emphasize the case that can lead to coexistence in the chemostat in a non-trivial way, i.e., where the n−1 less competitive species are in the input. We prove that if the inputs satisfy a constraint, the coexistence between the species is obtained in the form of a globally asymptotically stable (GAS) positive equilibrium, while a GAS equilibrium without the dominant species is achieved if the constraint is not satisfied. This work is round up with a thorough study of all the situations that can arise when having an arbitrary number of species in the chemostat inputs; this always results in a GAS equilibrium that either does or does not encompass one of the species that is not present in the input. | es_CL |
Lenguage | dc.language.iso | en | es_CL |
Publisher | dc.publisher | Elsevier | es_CL |
Keywords | dc.subject | Chemostat | es_CL |
Título | dc.title | Global stability for a model of competition in the chemostat with microbial inputs | es_CL |
Document type | dc.type | Artículo de revista |
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