Control of dengue disease : a case study in Cape Verde

• Author(s): Rodrigues, Helena Sofia ; Monteiro, M. Teresa T. ; Torres, Delfim F. M. ; Zinober, Alan
• Date: 2010
• Persistent ID: http://hdl.handle.net/1822/17162
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Dengue; Basic reproduction number; Stability; Cape Verde; Control
• Document Type: Conference Object
• Language: English

Description

Preprint. The published version is: Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2010), Almería (Andalucía), Spain, June 26-30 2010, 816–822. 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.