Before revision:  In view of this , we performed a Monte Carlo random walk study to better understand proximity-based infectious disease spread, particularly under restrictions. Our model is found to be rather robust and reproduces the observed power-law growth without relying on any external parameters. Three\langle \rangle growth regimes (quadratic,  power-law and exponential)  emerge naturally from our simulations.
After revision:  In view of this , we performed a Monte Carlo random walk study to better understand proximity-based infection spread. Social distancing is incorporated in the simulations through a single parameter, the size of each step in the random walk process. The step size l is taken to be a multiple of\langle \rangle growth regimes (quadratic, power-law and exponential) emerge naturally from our simulations.