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Modeling schistosomiasis and HIV/AIDS codynamics.


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Type

Article

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Authors

Mushayabasa, S 
Bhunu, CP 

Abstract

We formulate a mathematical model for the cointeraction of schistosomiasis and HIV/AIDS in order to assess their synergistic relationship in the presence of therapeutic measures. Comprehensive mathematical techniques are used to analyze the model steady states. The disease-free equilibrium is shown to be locally asymptotically stable when the associated disease threshold parameter known as the basic reproduction number for the model is less than unity. Centre manifold theory is used to show that the schistosomiasis-only and HIV/AIDS-only endemic equilibria are locally asymptotically stable when the associated reproduction numbers are greater than unity. The impact of schistosomiasis and its treatment on the dynamics of HIV/AIDS is also investigated. To illustrate the analytical results, numerical simulations using a set of reasonable parameter values are provided, and the results suggest that schistosomiasis treatment will always have a positive impact on the control of HIV/AIDS.

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Keywords

Algorithms, Basic Reproduction Number, Computer Simulation, Disease Transmission, Infectious, HIV Infections, Humans, Models, Biological, Prevalence, Schistosomiasis

Journal Title

Comput Math Methods Med

Conference Name

Journal ISSN

1748-670X
1748-6718

Volume Title

Publisher

Hindawi Limited