Optimal control of vector-borne disease with direct transmission
This paper introduces the usage of three controls as a way to reduce the occurrence of vector-borne disease. The governing equation of the dynamical system used in this paper describes both direct and indirect transmission mode of vector-borne disease. This means that the disease can be transmitted...
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my.utm.561892017-11-01T04:16:48Z http://eprints.utm.my/id/eprint/56189/ Optimal control of vector-borne disease with direct transmission Nordin, Nurul Aida Ahmad, Rohanin Ahmad, Rashidah QA Mathematics This paper introduces the usage of three controls as a way to reduce the occurrence of vector-borne disease. The governing equation of the dynamical system used in this paper describes both direct and indirect transmission mode of vector-borne disease. This means that the disease can be transmitted in two different ways. First, it can be transmitted through mosquito bites and the other is through human blood transfusion. The three controls that are incorporated in the dynamical system include a measurement of basic practice for blood donation procedure, self-prevention effort and vector control strategy by health authority. The optimality system of the three controls is characterized using optimal control theory and the existence and uniqueness of the optimal control are established. Then, the effect of the incorporation of the three controls is investigated by performing numerical simulation. Penerbit UTM Press 2015-08 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/56189/1/RashidahAhmad2015_OptimalControlofVector-BorneDisease.pdf Nordin, Nurul Aida and Ahmad, Rohanin and Ahmad, Rashidah (2015) Optimal control of vector-borne disease with direct transmission. Jurnal Teknologi, 76 (13). pp. 53-60. ISSN 2180-3722 http://dx.doi.org/10.11113/jt.v76.5822 DOI:10.11113/jt.v76.5822 |
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QA Mathematics Nordin, Nurul Aida Ahmad, Rohanin Ahmad, Rashidah Optimal control of vector-borne disease with direct transmission |
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This paper introduces the usage of three controls as a way to reduce the occurrence of vector-borne disease. The governing equation of the dynamical system used in this paper describes both direct and indirect transmission mode of vector-borne disease. This means that the disease can be transmitted in two different ways. First, it can be transmitted through mosquito bites and the other is through human blood transfusion. The three controls that are incorporated in the dynamical system include a measurement of basic practice for blood donation procedure, self-prevention effort and vector control strategy by health authority. The optimality system of the three controls is characterized using optimal control theory and the existence and uniqueness of the optimal control are established. Then, the effect of the incorporation of the three controls is investigated by performing numerical simulation. |
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Article |
author |
Nordin, Nurul Aida Ahmad, Rohanin Ahmad, Rashidah |
author_facet |
Nordin, Nurul Aida Ahmad, Rohanin Ahmad, Rashidah |
author_sort |
Nordin, Nurul Aida |
title |
Optimal control of vector-borne disease with direct transmission |
title_short |
Optimal control of vector-borne disease with direct transmission |
title_full |
Optimal control of vector-borne disease with direct transmission |
title_fullStr |
Optimal control of vector-borne disease with direct transmission |
title_full_unstemmed |
Optimal control of vector-borne disease with direct transmission |
title_sort |
optimal control of vector-borne disease with direct transmission |
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Penerbit UTM Press |
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2015 |
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http://eprints.utm.my/id/eprint/56189/1/RashidahAhmad2015_OptimalControlofVector-BorneDisease.pdf http://eprints.utm.my/id/eprint/56189/ http://dx.doi.org/10.11113/jt.v76.5822 |
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1643654021808914432 |
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13.188404 |