Modeling Schistosomiasis and HIVAIDS Codynamics
Joint Authors
Bhunu, Claver P.
Mushayabasa, Steady
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mushayabasa, Steady& Bhunu, Claver P.. 2011. Modeling Schistosomiasis and HIVAIDS Codynamics. Computational and Mathematical Methods in Medicine،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-502870
Modern Language Association (MLA)
Mushayabasa, Steady& Bhunu, Claver P.. Modeling Schistosomiasis and HIVAIDS Codynamics. Computational and Mathematical Methods in Medicine No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-502870
American Medical Association (AMA)
Mushayabasa, Steady& Bhunu, Claver P.. Modeling Schistosomiasis and HIVAIDS Codynamics. Computational and Mathematical Methods in Medicine. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-502870
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502870