Dynamics and productivity of microalgae in presence of predators.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F21%3A00560159" target="_blank" >RIV/60077344:_____/21:00560159 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ifacol.2021.08.319" target="_blank" >https://doi.org/10.1016/j.ifacol.2021.08.319</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ifacol.2021.08.319" target="_blank" >10.1016/j.ifacol.2021.08.319</a>

Result language
angličtina
Original language name
Dynamics and productivity of microalgae in presence of predators.
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
IFAC-PapersOnLine. Volume 54, Issue 3 - 16th IFAC Symposium on Advanced Control of Chemical Processes, ADCHEM 2021.
ISBN
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ISSN
2405-8963
e-ISSN
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Number of pages
6
Pages from-to
673-678
Publisher name
Elsevier
Place of publication
Amsterdam
Event location
ELECTR NETWORK
Event date
Jun 13, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000694048400112

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