On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance

Eduardo Ibargüen-Mondragón; M. Victoria Otero-Espinar; Miller Cerón Gómez; Eduardo Ibargüen-Mondragón; M. Victoria Otero-Espinar; Miller Cerón Gómez

doi:10.3934/era.2023337

Electronic Research Archive

2023, Volume 31, Issue 11: 6673-6696. doi: 10.3934/era.2023337

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On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance

1.
Department of Mathematics, University of Nariño, Pasto Clle 18 - Cra 50, Colombia
2.
Statistics, Mathematical Analysis and Optimisation Department, Faculty of Mathematics, University of Santiago de Compostela (USC), and Galician Center for Mathematical Research and Technology (CITMAga), Santiago de Compostela 15782, Spain

Academic Editor: Yanxiang Zhao

Received: 02 June 2023 Revised: 09 August 2023 Accepted: 06 October 2023 Published: 17 October 2023

The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.
- mathematical modeling,
- qualitative analysis,
- dynamical systems,
- plasmid-mediated ceftiofur resistance,
- pharmacokinetic,
- pharmacodynamics
Citation: Eduardo Ibargüen-Mondragón, M. Victoria Otero-Espinar, Miller Cerón Gómez. On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance[J]. Electronic Research Archive, 2023, 31(11): 6673-6696. doi: 10.3934/era.2023337

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Abstract

The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.

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