We have continued use of the notation in which a directed arrow on the right hand side of a differential equation denotes the direction of transmission for a contact process, as explained above. The equations (3) are, like (1), exact, but to produce an integrable system it is necessary to introduce a system of spatial closure. The standard approximation for a population of size N, with exactly n links per node and a clustering coefficient of w-defined as the ratio of triangles to triples in the network-was derived in [19] and is: