Modeling Schistosomiasis and HIV/AIDS Codynamics

Mushayabasa, S. (2011) Modeling Schistosomiasis and HIV/AIDS Codynamics.

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This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.,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.

Item Type: Article
Uncontrolled Keywords: Algorithms,Basic Reproduction Number,Computer Simulation,Disease Transmission,Infectious: prevention & control,HIV Infections,Drug therapy
Divisions: Universities > State Universities > National University of Science and Technology
Depositing User: Mr. Edmore Sibanda
Date Deposited: 01 Dec 2015 02:03
Last Modified: 01 Dec 2015 02:03

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