Modelling Infectiology and Optimal Control of Dengue Epidemic
Applied and Computational Mathematics
Volume 4, Issue 3, June 2015, Pages: 181-191
Received: May 12, 2015; Accepted: May 22, 2015; Published: Jun. 3, 2015
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Authors
Laurencia Ndelamo Massawe, Faculty of Science, Technology and Environmental Studies, The Open University of Tanzania, Dar es Salaam, Tanzania
Estomih S. Massawe, Mathematics Department, University of Dar es salaam, Dar es Salaam, Tanzania
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Saldanha, South Africa
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Abstract
A mathematical model is presented to examine the interaction between human and vector populations. The model consists of five control strategies i.e. campaign aimed in educating careless individuals as a mean of minimizing or eliminating mosquito-human contact, control effort aimed at reducing mosquito-human contact, the control effort for removing vector breeding places, insecticide application and the control effort aimed at reducing the maturation rate from larvae to adult in order to reduce the number of infected individual. Optimal Control (OC) approach is used in order to find the best strategy to fight the disease and minimize the cost.
Keywords
Control, Optimal Control, Dengue Fever, Implementation, Strategy
To cite this article
Laurencia Ndelamo Massawe, Estomih S. Massawe, Oluwole Daniel Makinde, Modelling Infectiology and Optimal Control of Dengue Epidemic, Applied and Computational Mathematics. Vol. 4, No. 3, 2015, pp. 181-191. doi: 10.11648/j.acm.20150403.21
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