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Mathematical Modelling of Mosquito Dispersal in a Heterogeneous Environment.

Lutambi, A. M., Penny, M. A., Smith, T. and Chitnis, N. (2012) Mathematical Modelling of Mosquito Dispersal in a Heterogeneous Environment. Mathematical biosciences. ISSN 1879-3134 (In Press)

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Abstract

Mosquito dispersal is a key behavioural factor that affects the persistence and resurgence of several vector-borne diseases. Spatial heterogeneity of mosquito resources, such as hosts and breeding sites, affects mosquito dispersal behaviour and consequently affects mosquito population structures, human exposure to vectors, and the ability to control disease transmission. In this paper, we develop and simulate a discrete-space continuous-time mathematical model to investigate the impact of dispersal and heterogeneous distribution of resources on the distribution and dynamics of mosquito populations. We build an ordinary differential equation model of the mosquito life cycle and replicate it across a hexagonal grid (multi-patch system) that represents two-dimensional space. We use the model to estimate mosquito dispersal distances and to evaluate the effect of spatial repellents as a vector control strategy. We find evidence of association between heterogeneity, dispersal, spatial distribution of resources, and mosquito population dynamics. Random distribution of repellents reduces the distance moved by mosquitoes, offering a promising strategy for disease control.

Item Type: Article
Keywords: Mathematical Model;Mosquito Dispersal;Simulation;Discrete Space;Repellents;Dispersal Distance
Subjects: Malaria > Vector control
Divisions: Ifakara Health Institute > Other IHI Subjects
Depositing User: Mr Joseph Madata
Date Deposited: 08 Jan 2013 06:43
Last Modified: 08 Jan 2013 06:43
URI: http://ihi.eprints.org/id/eprint/997

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