Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres, Alan Zinober
Published 2010-06-30Version 1
A model for the transmission of dengue disease is presented. It consists of eight mutually-exclusive compartments representing the human and vector dynamics. It also includes a control parameter (adulticide spray) in order to combat the mosquito. The model presents three possible equilibria: two disease-free equilibria (DFE) --- where humans, with or without mosquitoes, live without the disease --- and another endemic equilibrium (EE). In the literature it has been proved that a DFE is locally asymptotically stable, whenever a certain epidemiological threshold, known as the basic reproduction number, is less than one. We show that if a minimum level of insecticide is applied, then it is possible to maintain the basic reproduction number below unity. A case study, using data of the outbreak that occured in 2009 in Cape Verde, is presented.
Comments: 7 pages, 4 figures. Presented at the 10th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2010), Almeria (Andalucia), Spain, June 26-30 2010
Journal: Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010, Almeria 27-30 June 2010, pp. 816--822
Dengue disease, basic reproduction number and control
Seasonality effects on Dengue: basic reproduction number, sensitivity analysis and optimal control
Insecticide control in a Dengue epidemics model
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