Email this article A Spatial Model to Describe Foot and Mouth Disease Dissemination
Abstract
- Abstract: In this work we propose a spatial model to analyze the foot and mouth dissemination in Mato Grosso do Sul, Brazil. The model aims to study this dissemination based on a system of partial differential reaction-diffusion equations taking into account susceptible, infected (clinical and subclinical) and removed animal subpopulations. Diffusion and advection are allowed for susceptible, subclinically infected and removed subpopulations. The traveling wave solutions of the model are searched in order to determine the speed of the disease dissemination. This wave speed is obtained as a function of the model's parameters, from which we assess the control strategies.
- Resumo: Neste trabalho propomos um modelo espacial para estudar a propagação de febre aftosa no Estado de Mato Grosso do Sul, Brasil. O objetivo é o estudo da disseminação por meio de um sistema de equações diferenciais parcias de reação difusão considerando subpopulações de animais suscetíveis, infectados (clínicos e subclínicos) e recuperados. Estudamos as soluções onda viajantes para determinar a velocidade da disseminação da doença. Esta velocidade é determinada como função dos parâmetros do modelo a fim de estabelecer estratégias de controle.
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DOI: https://doi.org/10.5540/tema.2011.012.01.0011
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Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
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