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We consider a stochastic model of infection spread on the complete graph on$N$ vertices incorporating dynamic partnerships, which we assume to bemonogamous. This can be seen as a variation on the contact process in whichsome form of edge dynamics determines the set of contacts at each moment intime. We identify a basic reproduction number $R_0$ with the property that if$R_0<1$ the infection dies out by time $O(\log N)$, while if $R_0>1$ theinfection survives for an amount of time $e^{\gamma N}$ for some $\gamma>0$ andhovers around a uniquely determined metastable proportion of infectiousindividuals. The proof in both cases relies on comparison to a set ofmean-field equations when the infection is widespread, and to a branchingprocess when the infection is sparse.

Social contact processes and the partner model