Controlling Dispersal Dynamics of Aedes aegypti *

Authors: FERREIRA†, CLÁUDIA¹; PULINO, PETRONIO²; YANG‡, HYUN²; TAKAHASHI, LUCY³

Source: Mathematical Population Studies, Volume 13, Number 4, October-December 2006 , pp. 215-236(22)

Publisher: Routledge, part of the Taylor & Francis Group

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Abstract:

The dengue virus is transmitted in regions previously infested with the mosquito Aedes aegypti. To assess the spreading and establishment of the dengue disease vector, a mathematical model is developed that takes into account the diffusion and advection phenomena. A discrete model based on the cellular automata approach, which is a good framework to deal with small populations, is also developed to be compared with the continuous modeling.

Keywords: Aedes aegypti; biological invasion; cellular automata; control; dengue disease; diffusion equation

Document Type: Research article

DOI: http://dx.doi.org/10.1080/08898480600950515

Affiliations: 1: UNESP - IBB, Departamento de Bioestatística, Botucatu, SP, Brazil 2: UNICAMP - IMECC, Departamento de Matemática Aplicada, Campinas, SP, Brazil 3: UFV, Departamento de Matemática, Viçosa, MG, Brazil

Publication date: 2006-10-01