Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

We examine an optimal way of eradicating rabies transmission from dogs into the human population, using preexposure prophylaxis (vaccination) and postexposure prophylaxis (treatment) due to public education. We obtain the disease-free equilibrium, the endemic equilibrium, the stability, and the sens...

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Main Authors: Joshua Kiddy K. Asamoah, Francis T. Oduro, Ebenezer Bonyah, Baba Seidu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2017/2451237
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spelling doaj-18bd842419b64428acc2055697ca61442020-11-25T01:09:07ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/24512372451237Modelling of Rabies Transmission Dynamics Using Optimal Control AnalysisJoshua Kiddy K. Asamoah0Francis T. Oduro1Ebenezer Bonyah2Baba Seidu3Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaDepartment of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaDepartment of Statistics and Mathematics, Kumasi Technical University, Kumasi, GhanaDepartment of Mathematics, University for Development Studies, Navrongo, GhanaWe examine an optimal way of eradicating rabies transmission from dogs into the human population, using preexposure prophylaxis (vaccination) and postexposure prophylaxis (treatment) due to public education. We obtain the disease-free equilibrium, the endemic equilibrium, the stability, and the sensitivity analysis of the optimal control model. Using the Latin hypercube sampling (LHS), the forward-backward sweep scheme and the fourth-order Range-Kutta numerical method predict that the global alliance for rabies control’s aim of working to eliminate deaths from canine rabies by 2030 is attainable through mass vaccination of susceptible dogs and continuous use of pre- and postexposure prophylaxis in humans.http://dx.doi.org/10.1155/2017/2451237
collection DOAJ
language English
format Article
sources DOAJ
author Joshua Kiddy K. Asamoah
Francis T. Oduro
Ebenezer Bonyah
Baba Seidu
spellingShingle Joshua Kiddy K. Asamoah
Francis T. Oduro
Ebenezer Bonyah
Baba Seidu
Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
Journal of Applied Mathematics
author_facet Joshua Kiddy K. Asamoah
Francis T. Oduro
Ebenezer Bonyah
Baba Seidu
author_sort Joshua Kiddy K. Asamoah
title Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
title_short Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
title_full Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
title_fullStr Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
title_full_unstemmed Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis
title_sort modelling of rabies transmission dynamics using optimal control analysis
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2017-01-01
description We examine an optimal way of eradicating rabies transmission from dogs into the human population, using preexposure prophylaxis (vaccination) and postexposure prophylaxis (treatment) due to public education. We obtain the disease-free equilibrium, the endemic equilibrium, the stability, and the sensitivity analysis of the optimal control model. Using the Latin hypercube sampling (LHS), the forward-backward sweep scheme and the fourth-order Range-Kutta numerical method predict that the global alliance for rabies control’s aim of working to eliminate deaths from canine rabies by 2030 is attainable through mass vaccination of susceptible dogs and continuous use of pre- and postexposure prophylaxis in humans.
url http://dx.doi.org/10.1155/2017/2451237
work_keys_str_mv AT joshuakiddykasamoah modellingofrabiestransmissiondynamicsusingoptimalcontrolanalysis
AT francistoduro modellingofrabiestransmissiondynamicsusingoptimalcontrolanalysis
AT ebenezerbonyah modellingofrabiestransmissiondynamicsusingoptimalcontrolanalysis
AT babaseidu modellingofrabiestransmissiondynamicsusingoptimalcontrolanalysis
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