User profiles for Ana R. M. Carvalho

Ana RM Carvalho

Estudante 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 …

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 , …

HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load

ARM Carvalho, C Pinto, D Baleanu - Advances in Difference Equations, 2018 - Springer
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…

[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 …

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 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. …

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 …

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 …

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. …

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 …