Abstract: A method is disclosed of removing particulate debris, including dust, dust mites and mite fecal material from non-washable items using webbing composed of any of the following: 1) fibers that have been treated in a manner such that they acquire a long-lasting electrostatic charge of any polarity (i.e., electret), or otherwise have an intrinsic electrostatic charge; 2), fibers that are charged electrostatically negative; 3) fibers that are capable of attaining a negative electrostatic charge with moderate agitation and friction, as with the tumbling agitation of an automatic clothes dryer; 4) fibers of at least two mixed types such that the fibers have an intrinsic, long-lasting embedded (electret) electrostatic charge with respect to each other, or are otherwise capable of acquiring such electrostatic charges in an environment of moderate agitation and friction (i.e.