Dynamic analysis of a bacterial resistance model with impulsive state feedback control.
Math Biosci Eng
; 20(12): 20422-20436, 2023 Nov 10.
Article
en En
| MEDLINE
| ID: mdl-38124559
ABSTRACT
Bacterial resistance caused by prolonged administration of the same antibiotics exacerbates the threat of bacterial infection to human health. It is essential to optimize antibiotic treatment measures. In this paper, we formulate a simplified model of conversion between sensitive and resistant bacteria. Subsequently, impulsive state feedback control is introduced to reduce bacterial resistance to a low level. The global asymptotic stability of the positive equilibrium and the orbital stability of the order-1 periodic solution are proved by the Poincaré-Bendixson Theorem and the theory of the semi-continuous dynamical system, respectively. Finally, numerical simulations are performed to validate the accuracy of the theoretical findings.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Bacterias
/
Infecciones Bacterianas
Límite:
Humans
Idioma:
En
Revista:
Math Biosci Eng
Año:
2023
Tipo del documento:
Article
País de afiliación:
China