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Lattice Three-Species Models Of The Spatial Spread Of Rabies Among Foxes

Author

Listed:
  • A. BENYOUSSEF

    (Laboratoire de Magnétisme et Physique des Hautes Énergies, Département de Physique, Faculté des Sciences, B.P. 1014, Rabat, Morocco)

  • N. BOCCARA

    (DRECAM/SPEC, Centre d'Études de Saclay, 91191 Gif-sur-Yvette Cedex, France;
    Department of Physics, University of Illinois, Chicago, IL 60607-7059, USA)

  • H. CHAKIB

    (Laboratoire de Magnétisme et Physique des Hautes Énergies, Département de Physique, Faculté des Sciences, B.P. 1014, Rabat, Morocco)

  • H. EZ-ZAHRAOUY

    (Laboratoire de Magnétisme et Physique des Hautes Énergies, Département de Physique, Faculté des Sciences, B.P. 1014, Rabat, Morocco)

Abstract

Lattice models describing the spatial spread of rabies among foxes are studied. In these models, the fox population is divided into three-species: susceptible (S), infected or incubating (I), and infectious or rabid (R). They are based on the fact that susceptible and incubating foxes are territorial while rabid foxes have lost their sense of direction and move erratically. Two different models are investigated: a one-dimensional coupled-map lattice model, and a two-dimensional automata network model. Both models take into account the short-range character of the infection process and the diffusive motion of rabid foxes. Numerical simulations show how the spatial distribution of rabies, and the speed of propagation of the epizootic front depend upon the carrying capacity of the environment and diffusion of rabid foxes out of their territory.

Suggested Citation

  • A. Benyoussef & N. Boccara & H. Chakib & H. Ez-Zahraouy, 1999. "Lattice Three-Species Models Of The Spatial Spread Of Rabies Among Foxes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(06), pages 1025-1038.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:06:n:s0129183199000826
    DOI: 10.1142/S0129183199000826
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