  Lattice models describing the spatial spread of rabies among foxes are
studied. In these models, the fox population is divided into three-species:
susceptible, infected or incubating, and infectious or rabid. 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.
