A sensor device (112) for detecting at least one analyte in a body fluid of a user is disclosed. The sensor device (112) comprisesat least one evaluation device (134) configured for evaluating a data stream of time-dependent concentrations c of the analyte.The evaluation device (134) comprises at least one comparator device (140) configured for comparing a current value c(t) of the concentration cwith at least one first threshold value L and with at least one second threshold value H, with H >； L. The evaluation device (134)is configured to define a tolerance time interval(158). Further, the evaluation device (134), by using the comparator device (140), is configuredto detect if the concentrationcrises and exceeds the first threshold value L during the tolerance time interval (158)and to prepare a warning signal W accordingly. Theevaluation device (134)is configured to suppressan output of the warning signal W at least until the tolerance time interval (158) expires, under the precondition that c(t) <； Hduring the tolerance time interval (158).
