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| Martinez, Carlos; Mairet, Francis; Bernard, Olivier. |
| 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... |
| Tipo: Text |
Palavras-chave: Variable quota model; Positive periodic solution; Global stability; Microalgae; Cooperative system. |
| Ano: 2020 |
URL: https://archimer.ifremer.fr/doc/00599/71140/69455.pdf |
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| Silva, Edson Arlindo; Pereira, Jose Roberto; Botelho, Maria Izabel Vieira. |
| The setting of a cooperative takes place the moment people holding common interests and wishing to reach common goals, voluntarily unite under a free-adhesion scheme to democratically manage their enterprise taking all benefits and risks involved in cooperative activities. The cooperative organization is structured under ethical principles which distinguish them from other organizations. It is an organization based on democratic theorical principles like solidarity and equalness constituting the bases of their associates´ participation in the decision-making process and which, in its turn, may grant the citizenry formation of its members. In order to understand the cooperative principles a literature review was carried out, ranging authors of several... |
| Tipo: Journal Article |
Palavras-chave: Cooperative system; Solidarity; Equality.; Institutional and Behavioral Economics. |
| Ano: 2005 |
URL: http://purl.umn.edu/43977 |
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