Data/hora: 10/06/2024 08:17:14

Provedor de dados: | 5
País: | France
Título: | Dynamics of the periodically forced light-limited Droop model
Autores: | Martinez, Carlos; Mairet, Francis; Bernard, Olivier.
Data: | 2020-08
Ano: | 2020
Palavras-chave: | Variable quota model; Positive periodic solution; Global stability; Microalgae; Cooperative system.
Resumo: | The periodically forced light-limited Droop model represents microalgae growth under co-limitation by light and a single substrate, accounting for periodic fluctuations of factors such as light and temperature. In this paper, we describe the global dynamics of this model, considering general monotone growth and uptake rate functions. Our main result gives necessary and sufficient conditions for the existence of a positive periodic solution (i.e. a periodic solution characterized by the presence of microalgae) which is globally attractive. In our approach, we reduce the model to a cooperative planar periodic system. Using results on periodic Kolmogorov equations and on monotone sub-homogeneous dynamical systems, we describe the global dynamics of the reduced system. Then, using the theory of asymptotically periodic semiflows, we extend the results on the reduced system to the original model. To illustrate the applicability of the main result, we include an example considering a standard microalgae population model.
Tipo: | Text
Idioma: | Inglês

Identificador:

https://archimer.ifremer.fr/doc/00599/71140/69455.pdf

DOI:10.1016/j.jde.2020.03.020

https://archimer.ifremer.fr/doc/00599/71140/

Editor: | Elsevier
Formato: | application/pdf
Fonte: | Journal Of Differential Equations (0022-0396) (Elsevier), 2020-08 , Vol. 269 , N. 4 , P. 3890-3913

Fonte:

info:eu-repo/semantics/openAccess

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