The implications of HIV treatment on the HIV-malaria coinfection dynamics : a modeling perspective
Date
2015-07
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
Most hosts harbor multiple pathogens at the same time in disease epidemiology. Multiple pathogens have the potential for
interaction resulting in negative impacts on host fitness or alterations in pathogen transmission dynamics. In this paper we develop
a mathematical model describing the dynamics of HIV-malaria coinfection. Additionally, we extended our model to examine the
role treatment (of malaria and HIV) plays in altering populations’ dynamics. Our model consists of 13 interlinked equations which
allow us to explore multiple aspects of HIV-malaria transmission and treatment. We perform qualitative analysis of the model
that includes positivity and boundedness of solutions. Furthermore, we evaluate the reproductive numbers corresponding to the
submodels and investigate the long term behavior of the submodels. We also consider the qualitative dynamics of the full model.
Sensitivity analysis is done to determine the impact of some chosen parameters on the dynamics of malaria. Finally, numerical
simulations illustrate the potential impact of the treatment scenarios and confirm our analytical results.
Description
CITATION: Nyabadza, F. et al. 2015. The implications of HIV treatment on the HIV-malaria coinfection dynamics : a modeling perspective. BioMed Research International, 2015, Article ID 659651, doi:10.1155/2015/659651.
The original publication is available at https://www.hindawi.com/journals/bmri
The original publication is available at https://www.hindawi.com/journals/bmri
Keywords
Epidemiology -- Research, HIV treatment, Malaria, Epidemiology -- Mathematical model
Citation
Nyabadza, F. et al. 2015. The implications of HIV treatment on the HIV-malaria coinfection dynamics : a modeling perspective. BioMed Research International, 2015, Article ID 659651, doi:10.1155/2015/659651.