An optimal control problem applied to plasmid-mediated antibiotic resistance

E Ibargüen-Mondragón, L Esteva… - Journal of Applied …, 2022 - Springer
We formulate a system of ordinary differential equations to model the contribution of
antibiotic treatment and immune system to combat bacterial infections. We obtained …

Parameter estimation and global sensitivity analysis of a bacterial-plasmid model with impulsive drug treatment

J Jia, Z Zhao, J Yang, A Zeb - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, a mathematical model is developed to study bacterial resistance caused by
plasmids and mutations in the presence of the impulsive drug treatment. Firstly, the stability …

Higher-Order Nonstandard Finite Difference Methods for Autonomous Differential Equations with Applications in Mathematical Ecology

FK Alalhareth - 2022 - search.proquest.com
Nonstandard finite difference (NSFD) methods have been widely used to numerically solve
various problems in biology. In recent years, NSFD methods have been proposed that …

Assessing the role of bacterial plasmid replication in a competition model of sensitive and resistant bacteria to antibiotics.

E Ibarguen-Mondragon, MC Gómez… - AIMS …, 2021 - go.gale.com
Antibiotic resistance is one of the top 10 public health problems that most affects humanity.
In recent decades, plasmid-mediated antibiotic resistance (PMAR) has increased. However …

[PDF][PDF] Modeling the replication and transfer dynamics of bacterial plasmids in antibiotic resistance

E Ibargüen-Mondragón, K Prieto, M Cerón - Applied Sciences, 2022 - researchgate.net
The sustained increase in plasmid-mediated antibiotic resis-1 tance in recent years has
driven the need to improve our understanding 2 on the plasmid biology in order to generate …

[HTML][HTML] Optimal control and Bayes inference applied to complex microbial communities

JP Romero-Leiton, K Prieto… - Mathematical …, 2022 - aimspress.com
Interactions between species are essential in ecosystems, but sometimes competition
dominates over mutualism. The transition between mutualism-competition can have several …

Modelo matemático para el estudio de la persistencia y resistencia bacteriana de Helicobacter pylori en el estómago

EA Vega Noguera - repositorio.unal.edu.co
H. pylori es un patógeno que según estimaciones ha colonizado a más del 60% de la
población mundial. La infección por H. pylori según estudios clínicos tiene una estrecha …