Optimization of Dengue Epidemics: a test case with different discretization schemes
Abstract
The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected persons, the people's motivation to combat the mosquito and the inherent social cost of the disease, such as cost with ill individuals, educations and sanitary campaigns. The dynamic model presents a set of nonlinear ordinary differential equations. The problem was discretized through Euler and Runge Kutta schemes, and solved using nonlinear optimization packages. The computational results as well as the main conclusions are shown.
Cite
@article{arxiv.1001.3303,
title = {Optimization of Dengue Epidemics: a test case with different discretization schemes},
author = {Helena Sofia Rodrigues and M. Teresa T. Monteiro and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1001.3303},
year = {2010}
}
Comments
Presented at the invited session "Numerical Optimization" of the 7th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2009), Rethymno, Crete, Greece, 18-22 September 2009; RepositoriUM, id: http://hdl.handle.net/1822/10833