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MATHEMATICAL MODELING OF BACTERIAL RESISTANCE TO ANTIBIOTICS BY MUTATIONS AND PLASMIDS

EDUARDO IBARGÜEN-MONDRAGÓN

Departamento de Matemáticas y Estadística, Universidad de Nariño, Calle 18 Cra 50, Pasto, Colombia

E-mail Address: edbargun@udenar.edu.co

Corresponding author.

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JHOANA P. ROMERO-LEITON

Est. Doc., Instituto de Matemáticas, Universidad de Antioquia, Cll 67 Cra 52, Medellín, Colombia

E-mail Address: jpatirom3@gmail.com

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LOURDES ESTEVA

Departamento de Matemáticas, Universidad Nacional Autónoma de México, 04510 México DF, México

E-mail Address: lesteva@ciencias.unam.mx

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, and

EDITH MARIELA BURBANO-ROSERO

Departamento de Biología, Universidad de Nariño, Calle 18 Cra 50, Pasto, Colombia

E-mail Address: marielaburbano@gmail.com

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https://doi.org/10.1142/S0218339016500078Cited by:15 (Source: Crossref)

Abstract

Diversity of drugs against bacterial infections, and development of resistance to such drugs are increasing. We formulate and analyze a deterministic model for the population dynamics of sensitive and resistant bacteria to multiple bactericidal and bacteriostatic antibiotics, assuming that drug resistance is acquired through mutations and plasmid transmission. Model equilibria are determined from qualitative analysis, and numerical simulations are used to assess temporal dynamics of sensitive and drug-resistant bacteria. The model presents three possibilities: elimination of bacteria, persistence of only resistant bacteria, or coexistence of sensitive and resistant bacteria. Evolution to one of these scenarios depends on thresholds numbers involving sensitive and resistant bacteria.

Keywords:

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