Figure 1: Bifurcation diagram of the density of right-going locusts $$[R]$$ versus link creation rate $$a_{\rm o}$$. Solutions of the ODE system of equations (1)–(3) (solid line) yield a supercritical pitchfork bifurcation in excellent agreement with the results from numerical network simulations (circles). Bottom: phase diagram showing the bifurcation point as a function of the link creation rates $$a_{\rm o}$$ and $$a_{\rm e}$$. In the bistable region (grey), the pitchfork bifurcation becomes subcritical.