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) model for the coinfection dynamics. Fractional-order models have been proved in the literature to provide goo...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 22
Main Authors Carvalho, Ana RM, Pinto, Carla MA, Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 05.01.2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Antiretroviral drugs
coinfection
Difference and Functional Equations
Fever
fractional order
Functional Analysis
HCV
HIV
Human immunodeficiency virus
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Patients
treatment
Viral diseases
treatment
HCV
HIV
coinfection
fractional order
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Summary: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) model for the coinfection dynamics. Fractional-order models have been proved in the literature to provide good fits to real data from patients suffering from several diseases, such as HIV, dengue fever, and others. We have computed the basic reproduction number and the stability of the disease-free equilibrium of the model. The numerical results suggest that the HIV viral load impacts impressively the severity of the HCV infection. The treatment efficacy is also found to influence the natural progression of HCV on the HIV/HCV coinfection. The latter is repeated for all values of the order of the fractional derivative. Moreover, the fractional derivative may pave the way to better understanding the individuals’ patients’ adjustments to treatment and to viremia.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1456-z