Approximate numerical solutions to the travelling wave model, formulated from numerical solutions to the continuous model, for (a) the displacement function, f(z), and (b) the biological reaction, h(z). Results are shown for various values of the response parameter, κ, with ν = 4 and η = 2. Additionally, (a) shows the exact solutions to the travelling wave model, equations (3.1) and (3.2), for κ = 0 (black dashed-dot) and κ = κ* = 1.6 (black dashed). (Online version in colour.)