We conducted a systematic review of published studies using modelling to study terrestrial and marine depredation. Depredation is the behaviour developed by wild animals when feeding on resources raised or exploited by humans, such as crop raiding by terrestrial herbivores or and marine predators (mainly sharks and marine mammals) removing fish from fishing gear or aquaculture farms. The following search equation was used to search in abstracts, keywords and titles of studies published between 1995 and 2021 (April 20) and referenced by the Web of Science (WoS) in all fields.   Search equation: (a OR b OR c OR d OR e) AND (f OR g) NOT h AND i with (a) “depredation” (b) ‘crop raiding’ OR ‘crop damage’ (c) ‘livestock attack’ OR ‘livestock damage’ (d) ‘stock attack’ OR (‘aquaculture’ AND ‘interaction’) (e) ‘catch remov’ OR ‘catch damage’ (f) ‘wildlife’ OR ‘predat (g) ‘mammal’ OR ‘shark’ (h) ‘law’, ‘chemi’, ‘nest’ or ‘bacteri’ (i) ‘model’