Series of curves showing how the wave speed of the stochastic model, the mean field model (i.e. the finite difference discretisation of the PDE) and hybrid models for thresholds of Θ = 10 and 16⁎h changes as the lattice spacing varies. We note that the wave speed of the hybrid model, with a fixed threshold, converges to that of the stochastic model, whereas the hybrid model where the threshold is adjusted with the lattice spacing does not. The other parameters are Ω = 80⁎h, D = λ = 1, and all stochastic and hybrid results are obtained from averaging 1024 different simulations.