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This paper is a further study of Reference \cite{Xue2015}. We are concernedwith the contact process with random vertex weights on the oriented lattice.Our main result gives the asymptotic behavior of the survival probability ofthe process conditioned on only one vertex is infected at $t=0$ as thedimension grows to infinity. A SIR model and a branching process with randomvertex weights are the main auxiliary tools for the proof of the main result.

The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice