Ibargüen-Mondragón, Eduardo; Otero-Espinar, M. Victoria; Gómez, Miller Cerón On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance. (English) Zbl 07804420 Electron. Res. Arch. 31, No. 11, 6673-6696 (2023). MSC: 92C50 92C45 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., Electron. Res. Arch. 31, No. 11, 6673--6696 (2023; Zbl 07804420) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Esteva, Lourdes; Cerón Gómez, Miller An optimal control problem applied to plasmid-mediated antibiotic resistance. (English) Zbl 1491.92072 J. Appl. Math. Comput. 68, No. 3, 1635-1667 (2022). MSC: 92C50 92C32 34D20 49J15 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., J. Appl. Math. Comput. 68, No. 3, 1635--1667 (2022; Zbl 1491.92072) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Gómez, Miller Cerón; Burbano-Rosero, Edith M. Assessing the role of bacterial plasmid replication in a competition model of sensitive and resistant bacteria to antibiotics. (English) Zbl 1525.92047 AIMS Math. 6, No. 9, 9446-9467 (2021). MSC: 92C99 92D25 34C60 34C23 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., AIMS Math. 6, No. 9, 9446--9467 (2021; Zbl 1525.92047) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Prieto, Kernel; Hidalgo-Bonilla, Sandra Patricia A model on bacterial resistance considering a generalized law of mass action for plasmid replication. (English) Zbl 1469.92074 J. Biol. Syst. 29, No. 2, 375-412 (2021). MSC: 92C70 34D20 34C23 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., J. Biol. Syst. 29, No. 2, 375--412 (2021; Zbl 1469.92074) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Romero-Leiton, Jhoana P.; Esteva, Lourdes; Cerón Gómez, Miller; Hidalgo-Bonilla, Sandra P. Stability and periodic solutions for a model of bacterial resistance to antibiotics caused by mutations and plasmids. (English) Zbl 1481.92087 Appl. Math. Modelling 76, 238-251 (2019). MSC: 92C99 92C50 34C60 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., Appl. Math. Modelling 76, 238--251 (2019; Zbl 1481.92087) Full Text: DOI
Esteva, L.; Ibargüen-Mondragón, E. Modeling basic aspects of bacterial resistance of Mycobacterium tuberculosis to antibiotics. (English) Zbl 1395.92075 Ric. Mat. 67, No. 1, 69-88 (2018). MSC: 92C50 34D35 34A34 37N25 92C60 PDFBibTeX XMLCite \textit{L. Esteva} and \textit{E. Ibargüen-Mondragón}, Ric. Mat. 67, No. 1, 69--88 (2018; Zbl 1395.92075) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Romero-Leiton, Jhoana P.; Esteva, Lourdes; Burbano-Rosero, Edith Mariela Mathematical modeling of bacterial resistance to antibiotics by mutations and plasmids. (English) Zbl 1343.92484 J. Biol. Syst. 24, No. 1, 129-146 (2016). MSC: 92D30 92C40 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} et al., J. Biol. Syst. 24, No. 1, 129--146 (2016; Zbl 1343.92484) Full Text: DOI
Ibargüen-Mondragón, Eduardo; Esteva, Lourdes On the interactions of sensitive and resistant Mycobacterium tuberculosis to antibiotics. (English) Zbl 1281.92030 Math. Biosci. 246, No. 1, 84-93 (2013). MSC: 92C50 92C60 34C60 37N25 PDFBibTeX XMLCite \textit{E. Ibargüen-Mondragón} and \textit{L. Esteva}, Math. Biosci. 246, No. 1, 84--93 (2013; Zbl 1281.92030) Full Text: DOI
Esteva, Lourdes; Ibargüen Mondragon, Eduardo; Romero Leyton, Johana A mathematical model on antibiotic-sensitives and resistent bacteria. (Un modelo matemático sobre bacterias sensibles y resistentes a antibióticos.) (Spanish. English summary) Zbl 1344.37091 Mat., Enseñ. Univ. (N.S.) 19, No. 2, 55-73 (2011). MSC: 37N25 92B05 37C75 PDFBibTeX XMLCite \textit{L. Esteva} et al., Mat., Enseñ. Univ. (N.S.) 19, No. 2, 55--73 (2011; Zbl 1344.37091)