Mathematical modeling on bacterial resistance to multiple antibiotics caused by spontaneous mutations.
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.
Departamento de Matemáticas y Est., Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia. Electronic address: edbargun@udenar.edu.co.
Eduardo
E
Ibargüen-Mondragón
Departamento de Matemáticas y Est., Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia.
Saulo
S
Mosquera
Departamento de Matemáticas y Est., Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia.
Miller
M
Cerón
Departamento de Biología, Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia.
Edith Mariela
EM
Burbano-Rosero
Departamento de Química, Universidad de Nariño, Calle 18 - Cra 50, Pasto, Colombia.
Sandra P
SP
Hidalgo-Bonilla
Departamento de Matemáticas, Universidad Nacional Autónoma de México, 04510 México DF, Mexico.
Lourdes
L
Esteva
Dirección de Regionalización, Universidad de Antioquia, Seccional Bajo Cauca, Colombia.
Jhoana P
JP
Romero-Leitón
D000900:Anti-Bacterial Agents / Q000494:pharmacology; D018407:Bacterial Physiological Phenomena / Q000187:drug effects / Q000235:genetics*; D002470:Cell Survival / Q000187:drug effects / Q000235:genetics; D003198:Computer Simulation; D024881:Drug Resistance, Bacterial / Q000187:drug effects / Q000235:genetics*; D050296:Microbial Viability / Q000187:drug effects / Q000235:genetics*; D008957:Models, Genetic; D009154:Mutation / Q000187:drug effects / Q000235:genetics*
D000900:Anti-Bacterial Agents
Antibiotics; Bacterial resistance; Equilibrium solutions; Ordinary differential equations