What question did this study set out to answer?

This research aims to analyze gut microbiome growth dynamics using chemostat models incorporating competition and random fluctuations.

March 18, 2026Open Access

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Key Points

This research aims to analyze gut microbiome growth dynamics using chemostat models incorporating competition and random fluctuations.
Developed chemostat models with parameters reflecting wall growth and consumption functions.
Examined the asymptotic behavior of solutions to random differential systems.
Conducted numerical simulations to validate theoretical results and provide biological insights.
Identified specific conditions where microbes can persist in the gut.
Observed key differences in growth behavior depending on the consumption function used (Monod vs Haldane).
Illustrated how random fluctuations in dilution rates affect microbial competition outcomes.

Abstract

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.

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Key Points

Abstract

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