6533b858fe1ef96bd12b601d
RESEARCH PRODUCT
Optimal Control of the Lotka-Volterra Equations with Applications
Bernard BonnardJérémy Rouotsubject
Population dynamicsMaximum Principle[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Lotka-Volterra equations[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Regular synthesisOptimal controldescription
In this article, the Lotka-Volterra model is analyzed to reduce the infection of a complex microbiote. The problem is set as an optimal control problem, where controls are associated to antibiotic or probiotic agents, or transplantations and bactericides. Candidates as minimizers are selected using the Maximum Principle and the closed loop optimal solution is discussed. In particular a 2d-model is constructed with 4 parameters to compute the optimal synthesis using homotopies on the parameters.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-11-20 |