KENDALI OPTIMAL PADA MODEL DINAMIK EPIDEMI DENGUE MENGGUNAKAN MISER3

  • Zeth A. Leleury Jurusan Matematika FMIPA Universitas Pattimura
Keywords: Dengue, Miser3, Nonlinear programming, Optimal control

Abstract

Dengue fever is an infectious tropical disease caused by the Dengue virus. Dengue haemorrhagic fever constitute a substantial health burden on world's population. In this
research, an application of optimal control theory to Dengue epidemics using MISER3 was presented. The dynamic model is described by a set of nonlinear ordinary differential
equations, that depend on the dynamics of the Dengue mosquito, the number of infected individuals, and people's motivation to combat the mosquito. The cost functional depends
not only on the costs of medical treatment of the infected people but also on the costs related to educational and sanitation campaigns. We observe that with current
computational tools it is easy to obtain, in an efficient way, better solutions to Dengue problems, leading to a decrease in the number of infected mosquitoes and individuals in
less time and with lower costs.

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References

Caetano, M.A.L., Yoneyama, T, Optimal and sub-optimal control in Dengue epidemics, Optimal Control Applications and Methods 22 (2001) 63_73.
Edwards, D., Hamson, M. Guide to mathematical Modelling, The Macmillan Press, Ltd. (1989)
Hadi, U.K, Penyakit Tular Vektor Demam Berdarah Dengue. IPB, Bogor.
Helena, S.R., Teresa, M.M., Delfim, F.M.T, Dynamics of dengue epidemis when using optimal control, Mathematical and Computer Modelling 52 (2010) 1667-1673
Jennings, L.S., Fisher, M.E., Teo, K.L, Goh., C.G, MISER3, Optimal Control Software : Theory and User Manual Version 2.0 (2002).
Subchan, S., Zbikowski, R., Computational Optimal Control Tools and Practise, John Willey and Sons, Ltd, publication, United Kingdom. (2009).
Yang, S.X, Mathematical Modelling for Earth Sciences, Dunedin Academic Press, Ltd, Scotland. (2008), www.chp.gov.hk Situs web Pusat Perlindungan Kesehatan:
Published
2012-12-01
How to Cite
[1]
Z. Leleury, “KENDALI OPTIMAL PADA MODEL DINAMIK EPIDEMI DENGUE MENGGUNAKAN MISER3”, BAREKENG: J. Math. & App., vol. 6, no. 2, pp. 17-21, Dec. 2012.

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