Reactive adsorption (and its reverse, reactive desorption) resembles associative desorption (and its reverse, associative desorption) but one fragment adds to an adsorbate rather than to a surface site.
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Source:
PAC, 1976, 46, 71. 'Manual of Symbols and Terminology for Physicochemical Quantities and Units - Appendix II. Definitions, Terminology and Symbols in Colloid and Surface Chemistry. Part II: Heterogeneous Catalysis' on page 84 (https://doi.org/10.1351/pac197646010071)