Modeling mathematically the influence of plasmids on the propagation of bacterial resistance to antibiotics


  • Jhoana Romero* Universidad de InvestigaciГіn de TecnologГ­a Experimental Yachay Tech
  • Eduardo Ibargüen Universidad de NariГ±o
  • Lourdes Esteva UNAM


Diversity of drugs against bacterial infections, and development of resistance toВ such drugs are increasing. We formulate and analyze a deterministic model forВ the population dynamics of sensitive and resistant bacteria to multiple bactericidalВ and bacteriostatic antibiotics, assuming that drug resistance is acquiredВ through mutations and plasmid transmission. Model equilibria are determinedВ from qualitative analysis, and numerical simulations are used to assess temporalВ dynamics of sensitive and drug-resistant bacteria. The model presents threeВ possibilities: elimination of bacteria, persistence of only resistant bacteria, or coexistenceВ of sensitive and resistant bacteria. Evolution to one of these scenariosВ depends on thresholds numbers involving sensitive and resistant bacteria.


Romero-Leiton, J. P., e Ibarguen Mondragon, E. (2014). Sobre la resistencia

bacteriana hacia antibiГіticos de acciГіn bactericida y bacteriostГіtica. Revista

IntegraciГіn, 32(1), 101-116.

IbargГјen-MondragГіn, E., Mosquera, S., CerГіn, M., Burbano-Rosero, E. M.,

Hidalgo-Bonilla, S. P., Esteva, L., and Romero-Leiton, J. P. (2014). Math-

ematical modeling on bacterial resistance to multiple antibiotics caused by

spontaneous mutations. BioSystems, 117, 60-67.

Romero-Leiton, J; Ibarguen Mondragon, E and Esteva Lourdes (2016).

Mathematical modeling of bacterial resistance by mutations and plasmids.

Journal Of Biological Systems. 24 (1) 1-18.






Conference Contributions