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dc.contributor.author
Rodriguez Cartabia, Mauro
dc.date.available
2024-02-14T15:21:08Z
dc.date.issued
2023-07
dc.identifier.citation
Rodriguez Cartabia, Mauro; Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 172; 7-2023; 1-21
dc.identifier.issn
0960-0779
dc.identifier.uri
http://hdl.handle.net/11336/226882
dc.description.abstract
We study a general single-species chemostat model with non-autonomous input and washout, and a discrete-time delay between consumption of the nutrient and growth. The goal of this article is to provide sufficient and necessary conditions for persistence. The persistence criteria obtained here extend previous works done for the autonomous model with delay and for the non-autonomous model without delay. Furthermore, in the particular case of periodic nutrient input and the same periodic washout with delayed response in growth, the persistence criteria can be expressed in terms of the average of the involved functions. We remark in no case we need to impose any restrictions on the size of the delay.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CHEMOSTAT
dc.subject
DELAY DIFFERENTIAL EQUATIONS
dc.subject
PERSISTENCE
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-02-02T15:15:31Z
dc.journal.volume
172
dc.journal.pagination
1-21
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Rodriguez Cartabia, Mauro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Chaos, Solitons And Fractals
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0960077923004150
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.chaos.2023.113514
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2204.09735
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