Dataciencia

Colección SciELO Chile

Modeling and stability analysis of a microalgal pond with nitrification

Indexado

WoS	WOS:000412253100025
Scopus	SCOPUS_ID:85028987765

DOI

10.1016/J.APM.2017.07.008

Año

2017

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

Microalgae culture fed with ammonium may face the presence of nitrifying bacteria. The aim of this paper is to propose and analyze a nonlinear system which represents the dynamics of these two species (microalgae and nitrifying bacteria) in competition for nitrogen (present as ammonium and nitrate produced by nitrification) in a continuous process. The existence and local stability of system equilibria is studied. Reduction by conservation principle, perturbed systems and Lyapunov methods are used to provide sufficient conditions for the global asymptotic stability of the system equilibria. Finally, we illustrate our analysis with a case study, showing which operating conditions (dilution rate and pond depth) can promote the presence of nitrifiers with microalgae. (C) 2017 Elsevier Inc. All rights reserved.

Revista

Revista	ISSN
Applied Mathematical Modelling	0307-904X

Métricas Externas

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Disciplinas de Investigación

WOS
Engineering, Multidisciplinary
Mechanics
Mathematics, Interdisciplinary Applications

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Mairet, Francis	Hombre	Inria BIOCORE - Francia INRIA Sophia Antipolis - Francia Centre Inria Sophia Antipolis - Méditerranée - Francia
2	RAMIREZ-ESTAY, HECTOR	Hombre	Universidad de Chile - Chile
3	ROJAS-PALMA, ALEJANDRO MAXIMILIANO	Hombre	Universidad de Chile - Chile Univ Montpellier - Francia Université de Montpellier - Francia

Muestra la afiliación y género (detectado) para los co-autores de la publicación.

Financiamiento

Fuente
CONICYT
Universidad de Chile
Fondo Nacional de Desarrollo Científico y Tecnológico
Comisión Nacional de Investigación Científica y Tecnológica
ComisiÃ³n Nacional de InvestigaciÃ³n CientÃfica y TecnolÃ³gica
Fondo Nacional de Desarrollo CientÃfico y TecnolÃ³gico
CONICYT PAI
Basal Project
CONICYT through project FONDECYT
Concurso Nacional Tesis de Doctorado en la Empresa
CONICYT PAI/Concurso Nacional Tesis de Doctorado en la Empresa
CONICYT through project Anillo ACT
Math-Amsud
CIRIC
ANR-14-CE04-0011

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
The authors are deeply grateful to the editor and reviewer of their careful reading and constructive comments that strongly improve the quality of this manuscript. This paper was done in the framework of project BIONATURE of CIRIC, INRIA-Chile, and it was partially supported by CONICYT through project FONDECYT grant number 1160567 and Anillo ACT 1106-ACPA (H. Ramirez), ANR-14-CE04-0011 Phycover (F. Mairet), CONICYT doctoral grant and CONICYT PAI/Concurso Nacional Tesis de Doctorado en la Empresa, convocatoria 2014, 781413008 (A. Rojas-Palma). Authors also acknowledge the support of BASAL Project PFB-03 (Centro de Modelamiento Matematico, Universidad de Chile), Math-Amsud No. 15 MATH-02 and CONICYT grant REDES 150011.
The authors are deeply grateful to the editor and reviewer of their careful reading and constructive comments that strongly improve the quality of this manuscript. This paper was done in the framework of project BIONATURE of CIRIC, INRIA-Chile, and it was partially supported by CONICYT through project FONDECYT grant number 1160567 and Anillo ACT 1106-ACPA (H. Ramírez), ANR-14-CE04-0011 Phycover (F. Mairet), CONICYT doctoral grant and CONICYT PAI/Concurso Nacional Tesis de Doctorado en la Empresa, convocatoria 2014, 781413008 (A. Rojas-Palma). Authors also acknowledge the support of BASAL Project PFB-03 (Centro de Modelamiento Matemático, Universidad de Chile ), Math-Amsud No. 15 MATH-02 and CONICYT grant REDES 150011 .

Agradecimiento

The authors are deeply grateful to the editor and reviewer of their careful reading and constructive comments that strongly improve the quality of this manuscript. This paper was done in the framework of project BIONATURE of CIRIC, INRIA-Chile, and it was partially supported by CONICYT through project FONDECYT grant number 1160567 and Anillo ACT 1106-ACPA (H. Ramirez), ANR-14-CE04-0011 Phycover (F. Mairet), CONICYT doctoral grant and CONICYT PAI/Concurso Nacional Tesis de Doctorado en la Empresa, convocatoria 2014, 781413008 (A. Rojas-Palma). Authors also acknowledge the support of BASAL Project PFB-03 (Centro de Modelamiento Matematico, Universidad de Chile), Math-Amsud No. 15 MATH-02 and CONICYT grant REDES 150011.

The authors are deeply grateful to the editor and reviewer of their careful reading and constructive comments that strongly improve the quality of this manuscript. This paper was done in the framework of project BIONATURE of CIRIC, INRIA-Chile, and it was partially supported by CONICYT through project FONDECYT grant number 1160567 and Anillo ACT 1106-ACPA (H. Ramírez), ANR-14-CE04-0011 Phycover (F. Mairet), CONICYT doctoral grant and CONICYT PAI/Concurso Nacional Tesis de Doctorado en la Empresa, convocatoria 2014, 781413008 (A. Rojas-Palma). Authors also acknowledge the support of BASAL Project PFB-03 (Centro de Modelamiento Matemático, Universidad de Chile ), Math-Amsud No. 15 MATH-02 and CONICYT grant REDES 150011 .