Dynamics and productivity of microalgae in presence of predators.

0560159 - BC 2022 RIV NL eng C - Konferenční příspěvek (zahraniční konf.)
Martínez, Carlos - Pessi, B.A. - Bernard, O.
Dynamics and productivity of microalgae in presence of predators.
IFAC-PapersOnLine. Volume 54, Issue 3 - 16th IFAC Symposium on Advanced Control of Chemical Processes, ADCHEM 2021.. Amsterdam: Elsevier, 2021 - (De La Puente, J.), s. 673-678. ISSN 2405-8963.
[16th IFAC Symposium on Advanced Control of Chemical Processes (ADCHEM). ELECTR NETWORK (IT), 13.06.2021-16.06.2021]
Institucionální podpora: RVO:60077344
Klíčová slova: Control * Biotechnology * Wastewater treatment * Microalgae * Predator prey
Obor OECD: Marine biology, freshwater biology, limnology
https://doi.org/10.1016/j.ifacol.2021.08.319

This paper is concerned with the dynamics and the productivity of biomass in a continuous microalgae culture contaminated by predators. We propose a general model describing a cultivation system where photolimited microalgae are grazed by zooplankton. We state necessary and sufficient conditions for the existence of a coexistence equilibrium. If this equilibrium exists, then microalgae and predators converge either to it or to a globally asymptotically stable periodic solution. In absence of the coexistence equilibrium, any solution approaches either an equilibrium characterized by the presence of algae and the absence of predators, or the washout equilibrium. This description of the dynamics allows to define the microalgae productivity in the long-term (i.e. when an attracting set is reached). With the help of numerical simulations, we show that operating the system at optimal (constant) dilution rate triggers the extinction of predators. Copyright (C) 2021 The Authors.
Trvalý link: https://hdl.handle.net/11104/0333173