6533b821fe1ef96bd127af91

RESEARCH PRODUCT

Geometric Optimal Control of the Generalized Lotka-Volterra Model of the Intestinal Microbiome

Rouot JérémyBernard BonnardCristina Silva

subject

Optimal control in the permanent casebiomathematics and population dynamicssampled-data control[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

description

We introduce the theoretical framework from geometric optimal control for a control system modeled by the Generalized Lotka-Volterra (GLV) equation, motivated by restoring the gut microbiota infected by Clostridium difficile combining antibiotic treatment and fecal injection. We consider both permanent control and sampled-data control related to the medical protocols.

yearjournalcountryeditionlanguage
2022-01-01
https://hal.science/hal-03861565