Dynamics of drug on-drug off models with mutations in morbidostat — Dedicated to the seventieth birthday of Professor Gail Wolkowicz

• Published in: AIMS mathematics Vol. 8; no. 9; pp. 20815 - 20840
• Main Authors: Cheng, Ziran, Hsu, Sze-Bi
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: chemostat; coexistence; differential inequalities; drug inhibition; exclusion principle; impulse systems; morbidostat; mutants; wild type

The morbidostat is a bacteria culture device that progressively increases antibiotic drug concentration. It is used to study the evolutionary pathway. In this article, we construct mathematical models for the morbidostat. First we consider the case of no mutations, we study limiting systems and obta...