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Updated: May 3, 2026

Testing the Role of Multicopy Plasmids in the Evolution of Antibiotic Resistance
Published on: May 2, 2018
Mathematical modeling on bacterial resistance to multiple antibiotics caused by spontaneous mutations
Eduardo Ibargüen-Mondragón1, Saulo Mosquera1, Miller Cerón1
1Departamento de Matemáticas y Est., Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia.
Abstract:
We formulate a mathematical model that describes the population dynamics of bacteria exposed to multiple antibiotics simultaneously, assuming that acquisition of resistance is through mutations due to antibiotic exposure. Qualitative analysis reveals the existence of a free-bacteria equilibrium, resistant-bacteria equilibrium and an endemic equilibrium where both bacteria coexist.
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