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We consider some continuum percolation models. We are mainly interested ingiving some sufficient conditions for absence of percolation. We give somegeneral conditions and then focuse on two examples. The first one is amultiscale percolation model based on the Boolean model. It was introduced byMeester and Roy and subsequently studied by Menshikov, Popov and Vachkovskaia.The second one is based on the stable marriage of Poisson and Lebesgueintroduced by Hoffman, Holroyd and Peres and whose percolation properties havebeen studied by Freire, Popov and Vachkovskaia.

Subcritical regimes in some models of continuum percolation