Figure 6.

Types of 2D travelling wave solutions for the go-or-grow model under mechanism M₁. We present plots of the immotile and proliferating cell population ρ₂, our choices of M and ρ* being guided by the parameter regimes depicted in Figure 5. Cases (a)–(c) are obtained by fixing M and increasing ρ*; they correspond to the points P_i shown on Figure 5. Cases (c)–(e) are obtained by fixing ρ* and decreasing M. For each set of parameter values, we plot the density over the 2D domain at times when the dynamics change. The density level is given by the colour bar to the right of each figure. Cases (a) and (e) are associated with region 1 (simple travelling wave), cases (b) and (d) with region 2 (non-uniform stationary core behind the oscillatory moving front), and case (c) with region 3 (irregular spatio-temporal oscillations behind the oscillatory moving front).