Spatial invasion of cooperative parasites.

In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host population is given by a random geometric graph on [0,1], n∈N, with a Poisson(N)-distributed number of vertices and in which vertices are connected over an edge when they have a distance of at most r with r of order N for some 0<β<1. At a host infection many parasites are generated and parasites move along edges to neighbouring hosts.