The present invention relates to a cover disposition (1) for monitoring of individuals is surfaces for supporting individuals, such as for example beds, whereby said cover disposition (1) comprises a textile material support (2) that provides a surface for supporting individuals, a conducting textile disposition (3) associated with said textile material support (2), a control device (7) provided in energy conducting connection with said conducting textile disposition (3) and with an energy source (8), whereby said cover disposition (1) is characterized in that said textile material support (2) is provided so that can be applied on an object (A) for supporting individuals so that said conducting textile disposition (3) is substantially retained on said object (A), at least with relation to movements along a longitudinal extension of said object (A) .
