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Modeling and simulation of Classical Swine Fever Virus spread between and within farms

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2010-09-29
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Universidad Complutense. Departamento de Matemática Aplicada
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Classical swine fever is a viral disease of pigs that causes severe commercial restrictions to the affected areas. The knowledge of its spread patterns and risk factors would help to implement specific measures for controlling future outbreaks. In this article, we introduce a spatial hybrid model, based on the combination of a stochastic individual based model for between-farm spread with a Susceptible-Infected model for within-farm spread, to simulate the spread of this disease in a given region. Then, this model is validated by comparing the results given by numerical experiments considering the Spanish province of Segovia with other studies based on real outbreaks. Finally, a brief sensitivity analysis of the model parameters is performed.
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[1] Anderson, R.M., May, R.M. Population biology of infectious diseases: Part I. Nature. 280: 361-367 (1979). [2] Anderson, R.M., May, R.M. Infectious Diseases of Humans. Oxford, U.K.: Oxford University Press (1991). [3] Boender, G.J., Nodelijk, G., Hagenaars, T.J., Elbers A.R.W. and De Jong M.C.M. Local spread of classical swine fever upon virus introduction into The Netherlands: Mapping of areas at high risk. BMC Veterinary Research. 4(9):1-12 (2008) [4] Brauer, F., Castillo-Chavez, C., Mathematical Models in Population Biology and Epidemiology. Springer (2001). [5] Crauwels, A.P.P., Nielen, M., Elbers, A.R.W., Stegeman, J.A., Tielen, M.J.M.. Neighbourhood infections of CSF during the 1997-1998 epidemic in The Netherlands. Prev. Vet. Med.. 61: 263-277 (2003).
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