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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Main Authors: Alfred Hugo, Oluwole Daniel Makinde, Santosh Kumar, Fred F. Chibwana
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:http://dx.doi.org/10.1080/17513758.2016.1258093
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spelling 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
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