The present invention relates to a polyurea system comprising as component A) isocyanate-functional prepolymers obtainable by reaction of aliphatic isocyanates A1) with polyols A2), which in particular can have a number-average molecular weight of ≧400 g/mol and a mean OH functionality of from 2 to 6, as component B) an amino-functional compound of the general formula (I) in which X is an organic radical containing a secondary amino function, Y is an organic radical that contains a tertiary amino group and does not contain Zerewitinoff-active hydrogen, R1 is a CH2—COOR3 radical in which R3 is an organic radical that does not contain Zerewitinoff-active hydrogen, a linear or branched C1- to C4-alkyl radical, a cyclopentyl radical, a cyclohexyl radical or H, R2 is an organic radical that does not contain Zerewitinoff-active hydrogen, a is 1 or 2, b is 1 or 2, and a+b=2 or 3, for stemming the escape of blood, and to a metering system for the polyurea system according to the invention.