Figure 7.

2D pattern emerging from the go-or-grow travelling wave in rectangular geometry. We present the spatio-temporal evolution of the motile population ρ₁ (left column) and proliferating population ρ₂ (right column) evolving over a 2D rectangular domain. The density level is given by the colour bar to the right of each figure. The initial condition is given by Equations (13) and shown in (a). Plots (b)–(f) show the dynamics of the initially perturbed front at several later times. For direct comparison with (f), plot (g) shows the solution at time t = 180 obtained by using the unperturbed front (i.e. no transverse perturbation in Equation (13)) as the initial condition.