Series of plots comparing the travelling waves profile generated by the stochastic model in the column to the left and the hybrid model with a threshold of Θ = 25 on the right (simulation time t = 60). As the carrying capacity Ω increases, Ω = 10,25,100. Each plot shows a single realisation as well as the mean of 256 realisations of the stochastic or hybrid model, respectively. Results for the corresponding PDE (20) are also shown. The other parameter values are D = λ = 1, , h = 1.