Modeling schistosomiasis and HIV/AIDS codynamics
type: Item
instance of: scholarly article
title: Modeling schistosomiasis and HIV/AIDS codynamics
zbMATH Open document ID: 1207.92028
DOI: 10.1155/2011/846174
published in: Computational \& Mathematical Methods in Medicine
publication date: 2011-03-08T00:00:00Z
full work available at URL: https://eudml.org/doc/227414
review text: Summary: 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.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 5862672
Wikidata QID: Q34591688
author: Steady Mushayabasa
author: Claver P. Bhunu
MaRDI profile type: Publication
OpenAlex ID: W1997710218
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description: scientific article; zbMATH DE number 5862672