Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis

Figure 5

Phase diagram of spot motion. and . Data are obtained by the analysis of (96). , , and in the figure represent regions of no motion, straight motion, and circular motion, respectively. The mark represents the data obtained by the simulation of the reduced tensor model. (a) Phase diagram in the - plane. The solid, dashed, and dotted curves correspond to the cases of , , and , respectively. The upper (lower) region of each curve corresponds to the region of circular (straight) motion, and the region corresponds to the region of no motion. (b) Phase diagram in the - plane. The solid, dashed, and dotted curves correspond to cases of , 0.5, and 0.8, respectively. The region across each curve is the same as in (a). (c) Phase diagram in the - plane. The solid, dashed, and dotted curves correspond to the cases of , 0.5, and 1.0, respectively. The upper (lower) region of each curve corresponds to the region of straight (circular) motion.

(a)

(b)

(c)