In this paper we introduce a percolation construction which allows us to reduce problems about supercritical contact processes to problems about 1-dependent oriented percolation with density $p$ close to 1. Using this method we obtain a number of results about the growth of supercritical contact processes and the wet region in oriented percolation. As a corollary to our results we find that the critical probability for oriented site percolation is greater than (>) that for bond percolation.
"Supercritical Contact Processes on $Z$." Ann. Probab. 11 (1) 1 - 15, February, 1983. https://doi.org/10.1214/aop/1176993655