title: The Implications of HIV Treatment on the HIV-Malaria Coinfection Dynamics: A Modeling Perspective.
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.
authors.affiliation: Department of Mathematical Science, University of Stellenbosch, South Africa.
authors.forename: F
authors.initials: F
authors.lastname: Nyabadza
authors.affiliation: South African Centre for Epidemiological Modelling and Analysis (SACEMA), Stellenbosch University, South Africa.
authors.forename: B T
authors.initials: BT
authors.lastname: Bekele
authors.affiliation: Department of Biology, University of Mississippi, USA.
authors.forename: M A
authors.initials: MA
authors.lastname: Rúa
authors.affiliation: Department of Mathematics, Kenyatta University, Kenya.
authors.forename: D M
authors.initials: DM
authors.lastname: Malonza
authors.affiliation: Department of Applied Mathematics, National University of Science and Technology, Zimbabwe.
authors.forename: N
authors.initials: N
authors.lastname: Chiduku
authors.affiliation: Department of Basic Sciences, Botswana College of Agriculture, Botswana.
authors.forename: M
authors.initials: M
authors.lastname: Kgosimore
mesh_terms: D050936:Basic Reproduction Number; D060085:Coinfection / Q000628:therapy*; D003198:Computer Simulation; D018450:Disease Progression; D015658:HIV Infections / Q000453:epidemiology / Q000628:therapy*; D006801:Humans; D008288:Malaria / Q000628:therapy*; D008954:Models, Biological; D015995:Prevalence