User profiles for Ana R. M. Carvalho
Ana RM CarvalhoEstudante de Doutoramento, Faculdade de Ciências da Universidade do Porto Verified email at fc.up.pt Cited by 1106 |
[HTML][HTML] A latency fractional order model for HIV dynamics
CMA Pinto, ARM Carvalho - Journal of Computational and Applied …, 2017 - Elsevier
We study a fractional order model for HIV infection where latent T helper cells are included.
We compute the reproduction number of the model and study the stability of the disease free …
We compute the reproduction number of the model and study the stability of the disease free …
Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection
ARM Carvalho, CMA Pinto - Communications in Nonlinear Science and …, 2018 - Elsevier
We study the impact of diabetes and multi-drug resistant strains in a non-integer order model
for tuberculosis (TB) infection in a community. We compute the reproduction number, R 0 , …
for tuberculosis (TB) infection in a community. We compute the reproduction number, R 0 , …
HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load
We study the burden of the HIV viremia and of treatment efficacy in the severity of the
patterns of the HIV/HCV coinfection. For this, we derive a simple non-integer-order (fractional-order…
patterns of the HIV/HCV coinfection. For this, we derive a simple non-integer-order (fractional-order…
[HTML][HTML] Diabetes mellitus and TB co-existence: Clinical implications from a fractional order modelling
CMA Pinto, ARM Carvalho - Applied Mathematical Modelling, 2019 - Elsevier
Diabetes mellitus (DM) affects the epidemiology of tuberculosis (TB), being associated with
higher risk of treatment failure and TB incidence. DM increase in low- and middle-income …
higher risk of treatment failure and TB incidence. DM increase in low- and middle-income …
New findings on the dynamics of HIV and TB coinfection models
CMA Pinto, ARM Carvalho - Applied mathematics and computation, 2014 - Elsevier
In this paper we study a model for HIV and TB coinfection. We consider the integer order and
the fractional order versions of the model. Let α ∈ [ 0.78 , 1.0 ] be the order of the fractional …
the fractional order versions of the model. Let α ∈ [ 0.78 , 1.0 ] be the order of the fractional …
The HIV/TB coinfection severity in the presence of TB multi-drug resistant strains
CMA Pinto, ARM Carvalho - Ecological complexity, 2017 - Elsevier
We introduce a novel fractional-order model for the coinfection of HIV and tuberculosis (TB),
in the presence of multi-drug resistant TB strains (MDR-TB) and treatment for both diseases. …
in the presence of multi-drug resistant TB strains (MDR-TB) and treatment for both diseases. …
A coinfection model for HIV and HCV
ARM Carvalho, CMA Pinto - Biosystems, 2014 - Elsevier
We study a mathematical model for the human immunodeficiency virus (HIV) and hepatites
C virus (HCV) coinfection. The model predicts four distinct equilibria: the disease free, the …
C virus (HCV) coinfection. The model predicts four distinct equilibria: the disease free, the …
Fractional complex-order model for HIV infection with drug resistance during therapy
CMA Pinto, ARM Carvalho - Journal of Vibration and Control, 2016 - journals.sagepub.com
We propose a fractional complex-order model for drug resistance in HIV infection. We
consider three distinct growth rates for the CD4 + T helper cells. We simulate the model for …
consider three distinct growth rates for the CD4 + T helper cells. We simulate the model for …
The role of synaptic transmission in a HIV model with memory
CMA Pinto, ARM Carvalho - Applied Mathematics and Computation, 2017 - Elsevier
We propose a mathematical model with memory for the dynamics of HIV epidemics, where
two transmission modes, cell-to-cell and virus-to-cell, and drug resistance are considered. …
two transmission modes, cell-to-cell and virus-to-cell, and drug resistance are considered. …
Fractional model for type 1 diabetes
ARM Carvalho, CMA Pinto, JM de Carvalho - Mathematical modelling and …, 2020 - Springer
Type 1 diabetes (T1D) is an autoimmune disease characterized by the destruction of β-cells,
which are responsible for the production of insulin. T1D develops from an abnormal …
which are responsible for the production of insulin. T1D develops from an abnormal …