Dynamics and productivity of microalgae in presence of predators.

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamics and productivity of microalgae in presence of predators.

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Dynamics and productivity of microalgae in presence of predators.

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10617 - Marine biology, freshwater biology, limnology

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

IFAC-PapersOnLine. Volume 54, Issue 3 - 16th IFAC Symposium on Advanced Control of Chemical Processes, ADCHEM 2021.

ISBN

—

ISSN

2405-8963

e-ISSN

—

Počet stran výsledku

6

Strana od-do

673-678

Název nakladatele

Elsevier

Místo vydání

Amsterdam

Místo konání akce

ELECTR NETWORK

Datum konání akce

13. 6. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000694048400112