  In this article, we introduce a contact process with aging: in this
generalization of the classical contact process, each particle has an integer
age that influences its ability to give birth. We prove here a shape theorem
for this process conditioned to survive. In order to establish some key
exponential decays, we adapt the Bezuidenhout and Grimmett construction [BG91]
to build a coupling between our process and a supercritical oriented
percolation. Our results also apply to the two-stage contact process introduced
by Krone [Kro92].
