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Paper detail

Control of dengue disease: a case study in Cape Verde

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.

preprint2010arXivOpen access
Helena Sofia RodriguesM. Teresa T. MonteiroDelfim F. M. TorresAlan Zinober
math.OCPopulations and Evolution
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Helena Sofia RodriguesM. Teresa T. MonteiroDelfim F. M. TorresAlan Zinober

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