Competition between phytoplankton and bacteria: exclusion and coexistence
Pierre Masci (INRIA Sophia Antipolis), Fr\'ed\'eric Grognard (INRIA, Sophia Antipolis), Eric Beno\^it (MIA), Olivier Bernard (INRIA Sophia, Antipolis)

TL;DR
This paper analyzes the competitive interactions among phytoplankton and bacteria, demonstrating conditions under which coexistence or exclusion occurs based on different models of resource competition.
Contribution
It generalizes existing models by studying competition among three microorganism types, showing coexistence of attached bacteria with free bacteria or phytoplankton.
Findings
Attached bacteria coexist with free bacteria or phytoplankton.
Free species are washed out under certain conditions.
The outcome depends on substrate concentration dynamics.
Abstract
Resource-based competition between microorganisms species in continuous culture has been studied extensively both experimentally and theoretically, mostly for bacteria through Monod and and Contois "constant yield" models, or for phytoplankton through the Droop "variable yield" models. For homogeneous populations of N bacterial species (Monod) or N phytoplanktonic species (Droop), with one limiting substrate and under constant controls, the theoretical studies indicated that competitive exclusion occurs: only one species wins the competition and displaces all the others. On the contrary for attached bacterial species described by a Contois model, theory predicts coexistence between several species. In this paper we present a generalization of these results by studying a competition between these three different types of microorganisms. We prove that the outcome of the competition is a…
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