[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 …

Mecanismos de resistência do Staphylococcus aureus a antibióticos

PA CUSSOLIM, AS JUNIOR - Revista faculdades do saber, 2021 - rfs.emnuvens.com.br
O S. aureus é uma das bactérias patogênicas mais importantes, uma vez que atua como
agente de uma ampla gama de infecções, variando desde aquelas localizadas, geralmente …

[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 …

[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 …

[PDF][PDF] Qualitative analysis of a mathematical model applied to malaria disease transmission in Tumaco (Colombia)

JMM Aguilar, JP Romero-Leiton… - Applied Mathematical …, 2018 - m-hikari.com
In this work we study the malaria disease problem in Tumaco through of the mathematical
modelling with the objective of contribute to the understanding of the transmission dynamics …

Assessing the role of bacterial plasmid replication in a competition model of sensitive and resistant bacteria to antibiotics.

E Ibarguen-Mondragon, MC Gómez… - AIMS …, 2021 - go.gale.com
Antibiotic resistance is one of the top 10 public health problems that most affects humanity.
In recent decades, plasmid-mediated antibiotic resistance (PMAR) has increased. However …

[PDF][PDF] Simple mathematical models on macrophages and CTL responses against Mycobacterium tuberculosis

E Ibargüen-Mondragón… - Journal of Biological …, 2017 - revistas.udenar.edu.co
Universidad de Narino Page 1 Ibarguen-Mondragon y Esteva 2016. Simple mathematical
models on macrophages and CTL responses against Mycobacterium tuberculosis. Revista …

Modeling basic aspects of bacterial resistance of Mycobacterium tuberculosis to antibiotics

L Esteva, E Ibargüen-Mondragón - Ricerche di Matematica, 2018 - Springer
In this work we study the effect of antibiotics treatment and the immune system in the
development of Mycobacterium tuberculosis infection through the formulation and analysis …