Forma, Vol. 4 (No. 1), pp. 3-12, 2001
Original Paper

Spatial Patterns of Propagating Waves of Fox Rabies

Shigeo Yachi1, Kohkichi Kawasaki2, Nanako Shigesada1 and Ei Teramoto3

1Department of Biophysics, Kyoto University, Kyoto 606, Japan
2Science and Engineering Research Institute, Doshisha University, Kyoto 602, Japan
3Faculty of Science and Technology, Ryukoku University, Otsu-city 520-21, Japan

(Received June 19, 1989; Accepted July 3, 1989)

Keywords: Epidemics, Rabies, Diffusion, Traveling Wave, Chaos

Abstract. Spatial spreading of fox rabies is studied on the basis of the Anderson et al. model which is extended to include dispersal terms. The pattern of a traveling propagating wave and the speed of its front are analyzed by both the linearization method and numerical calculations. When the fox density is very high, the propagating wave shows a spatially irregular pattern, a new feature emerging from the effect of spatial dispersal.