Random chemostats with competition and different kinetics to investigate the growth of the gut microbiome

TL;DR

This paper explores stochastic chemostat models with competition and varying kinetics to understand gut microbiome dynamics, analyzing conditions for microbial persistence or extinction.

Contribution

It introduces a novel stochastic chemostat framework incorporating wall growth, competition, and different kinetics, with rigorous analysis of microbial persistence conditions.

Findings

Conditions for microbial persistence or extinction identified.

Numerical simulations support theoretical results.

Different kinetic models influence microbial growth outcomes.

Abstract

We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the microbes persist in the gut or disappear. Moreover, several numerical simulations are presented to support the theoretical results and illustrate their biological interpretation.