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.