Figure 1.
Turing instability and pattern formation for the go-or-rest model. (a) Spatial distribution of the cell populations in the domain [0, 1] at times t = 0 and t = 5. The initial densities ρ1(x, t = 0) and ρ2(x, t = 0) are shown by dotted and dashed lines, respectively. The solid line corresponds to the spatial distribution of the static population at time t = 5. The corresponding profile ρ1(x, t = 5) for population the motile is not presented since the values are much smaller in magnitude. (b) Spatio-temporal evolution of the motile cell density ρ1. The horizontal axis is used for space and the vertical one for time. The three contour levels indicate (from bottom to top) the iso-values ρ1 = 10−1, 10−2 and 10−3. (c) Spatio-temporal evolution of the static cell density ρ2. The horizontal axis is used for space and the vertical one for time. The contour level corresponds to the value ρ2 = 1 used as the initial value of the total density. Parameter values: (M, α, ρ*) = (5.0, 4.0, 0.9).
