Mathematical modeling on bacterial resistance to multiple antibiotics caused by spontaneous mutations

E Ibargüen-Mondragón, S Mosquera, M Cerón… - Biosystems, 2014 - Elsevier
We formulate a mathematical model that describes the population dynamics of bacteria
exposed to multiple antibiotics simultaneously, assuming that acquisition of resistance is …

[HTML][HTML] Mathematical modelling of bacterial resistance to multiple antibiotics and immune system response

B Daşbaşı, İ Öztürk - SpringerPlus, 2016 - Springer
Resistance of developed bacteria to antibiotic treatment is a very important issue, because
introduction of any new antibiotic is after a little while followed by the formation of resistant …

[HTML][HTML] Stability and periodic solutions for a model of bacterial resistance to antibiotics caused by mutations and plasmids

E Ibargüen-Mondragón, JP Romero-Leiton… - Applied mathematical …, 2019 - Elsevier
Bacterial resistance is one of the most prominent public health problems affecting the entire
world population. Although some infectious diseases are no longer a problem as they were …

[PDF][PDF] An optimal control problem applied to malaria disease in Colombia

JP Romero-Leiton, JM Montoya-Aguilar… - Applied mathematical …, 2018 - researchgate.net
In Colombia, malaria is a public health problem that affects a large part of its population.
Above motivated us to formulate an optimal control problem considering the following …

Mathematical modeling of bacterial resistance to antibiotics by mutations and plasmids

E Ibargüen-Mondragón, JP Romero-Leiton… - Journal of biological …, 2016 - World Scientific
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 …

[PDF][PDF] A stability test for non linear systems of ordinary differential equations based on the gershgorin circles

D Bejarano, E Ibargüen-Mondragón… - Contemporary …, 2018 - m-hikari.com
Abstract The Gershgorin Circles Theorem (GCT) is a very useful tool to characterize the
regions of the complex plane in which the eigenvalues of a matrix are found. Within the …

A smart decision framework for the prediction of thrips incidence in organic banana crops

JC Campos, J Manrique-Silupú, B Dorneanu… - Ecological …, 2022 - Elsevier
Various pests which diminish the quality of the fruit have a big influence on the organic
banana production in the Piura region of Peru (and not only) and prevent it from being sold …

The Fractional-Order mathematical modeling of bacterial resistance against multiple antibiotics in case of local bacterial infection

B DAŞBAŞI - Sakarya University Journal of Science, 2017 - dergipark.org.tr
In this study, it is described the general forms of fractional-order differential equations and
asymtotic stability of their system's equilibria. In addition that, the stability analysis of …

[PDF][PDF] Sobre la resistencia bacteriana hacia antibióticos de acción bactericida y bacteriostática

JP Romero, EI Mondragón - Revista Integración, 2014 - redalyc.org
En este artículo se formula un modelo matemático simple que descri-be la interacción entre
bacterias sensibles y resistentes a múltiples antibióticos de acción bactericida y …

[PDF][PDF] Random perturbations in a mathematical model of bacterial resistance: Analysis and optimal control

H Mena, LM Pfurtscheller… - Mathematical …, 2020 - researchgate.net
In this work, we study a mathematical model for the interaction of sensitive–resistant bacteria
to antibiotics and analyse the effects of introducing random perturbations to this model. We …