Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania
In this paper, a deterministic compartmental eco- epidemiological model with optimal control of Newcastle disease (ND) in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle and the numerical values of...
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Online Access: | http://dx.doi.org/10.1080/17513758.2016.1258093 |
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doaj-0df32b5b7f4c4379b1c82a4e7fd3c9ca2020-11-24T22:52:11ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662017-01-0111119020910.1080/17513758.2016.12580931258093Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in TanzaniaAlfred Hugo0Oluwole Daniel Makinde1Santosh Kumar2Fred F. Chibwana3University of Dar es SalaamStellenbosch UniversityUniversity of Dar es SalaamUniversity of Dar es SalaamIn this paper, a deterministic compartmental eco- epidemiological model with optimal control of Newcastle disease (ND) in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle and the numerical values of model parameters were estimated using maximum likelihood estimator. Three control strategies were incorporated such as chicken vaccination (preventive), human education campaign and treatment of infected human (curative) and its' impact were graphically observed. The incremental cost effectiveness analysis technique used to determine the most cost effectiveness strategy and we observe that combination of chicken vaccination and human education campaign strategy is the best strategy to implement in limited resources. Therefore, ND can be controlled if the farmers will apply chicken vaccination properly and well in time.http://dx.doi.org/10.1080/17513758.2016.1258093Newcastle diseaseoptimal controlcost effectiveness |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alfred Hugo Oluwole Daniel Makinde Santosh Kumar Fred F. Chibwana |
spellingShingle |
Alfred Hugo Oluwole Daniel Makinde Santosh Kumar Fred F. Chibwana Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania Journal of Biological Dynamics Newcastle disease optimal control cost effectiveness |
author_facet |
Alfred Hugo Oluwole Daniel Makinde Santosh Kumar Fred F. Chibwana |
author_sort |
Alfred Hugo |
title |
Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania |
title_short |
Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania |
title_full |
Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania |
title_fullStr |
Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania |
title_full_unstemmed |
Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania |
title_sort |
optimal control and cost effectiveness analysis for newcastle disease eco-epidemiological model in tanzania |
publisher |
Taylor & Francis Group |
series |
Journal of Biological Dynamics |
issn |
1751-3758 1751-3766 |
publishDate |
2017-01-01 |
description |
In this paper, a deterministic compartmental eco- epidemiological model with optimal control of Newcastle disease (ND) in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle and the numerical values of model parameters were estimated using maximum likelihood estimator. Three control strategies were incorporated such as chicken vaccination (preventive), human education campaign and treatment of infected human (curative) and its' impact were graphically observed. The incremental cost effectiveness analysis technique used to determine the most cost effectiveness strategy and we observe that combination of chicken vaccination and human education campaign strategy is the best strategy to implement in limited resources. Therefore, ND can be controlled if the farmers will apply chicken vaccination properly and well in time. |
topic |
Newcastle disease optimal control cost effectiveness |
url |
http://dx.doi.org/10.1080/17513758.2016.1258093 |
work_keys_str_mv |
AT alfredhugo optimalcontrolandcosteffectivenessanalysisfornewcastlediseaseecoepidemiologicalmodelintanzania AT oluwoledanielmakinde optimalcontrolandcosteffectivenessanalysisfornewcastlediseaseecoepidemiologicalmodelintanzania AT santoshkumar optimalcontrolandcosteffectivenessanalysisfornewcastlediseaseecoepidemiologicalmodelintanzania AT fredfchibwana optimalcontrolandcosteffectivenessanalysisfornewcastlediseaseecoepidemiologicalmodelintanzania |
_version_ |
1725666736910368768 |