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Optimal Control of Multiple Transmission of Water-Borne Diseases
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A controlled SIWR model was considered which was an extension of the simple SIR model by adjoining a compartment (W) that tracks the pathogen concentration in the water.
New infections arise both through exposure to contaminated water as well as by the classical SIR person-person transmission pathway.
The controls represent an immune boosting and pathogen suppressing drugs.
The objective function is based on a combination of minimizing the number of infected individuals and the cost of the drugs dose.
The optimal control is obtained by solving the optimality system which was composed of four nonlinear ODEs with initial conditions and four nonlinear adjoint ODEs with transversality conditions.
The results were analysed and interpreted numerically using MATLAB.
American Psychological Association (APA)
Devipriya, G.& Kalaivani, K.. 2012. Optimal Control of Multiple Transmission of Water-Borne Diseases. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-470916
Modern Language Association (MLA)
Devipriya, G.& Kalaivani, K.. Optimal Control of Multiple Transmission of Water-Borne Diseases. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-470916
American Medical Association (AMA)
Devipriya, G.& Kalaivani, K.. Optimal Control of Multiple Transmission of Water-Borne Diseases. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-470916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470916