Dengue disease, basic reproduction number and control

• Autor(es): Monteiro, M. Teresa T. ; Torres, Delfim F. M. ; Zinober, Alan ; Rodrigues, Helena Sofia
• Data: 2012
• Identificador Persistente: http://hdl.handle.net/1822/15161
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Dengue; Basic reproduction number; Stability; Cape Verde; Control
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

Dengue is one of the major international public health concerns.Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. 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 (insecticide) in order to fight the mosquito. The model presents three possible equilibria: two disease-free equilibria (DFE) and another endemic equilibrium. 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 we apply a minimum level of insecticide, it is possible to maintain the basic reproduction number below unity. A case study, using data of the outbreak that occurred in 2009 in Cape Verde, is presented.