“…Therefore, it is a key approach for sustainable management (Hollowed et al, 2000) and consideration of multispecies interaction in fishery model is increasing in recent years (for example, see Agnarsson et al, 2008;Bogstad et al, 1997;Clark, 1990;Fleming & Alexander, 2003;Iversen, 2006;Kar & Chaudhuri, 2004;May et al, 1979;Poudel, Sandal, Steinshamn, & Kvamsdal, 2012;Sandal & Steinshamn, 2010;Woodward & Bishop, 1999;Yodzis, 1994). However, most of the studies focused on predators prey interactions between two species while three species continuous time interaction models are very few, although there is increasing interest in multispecies model in recent years (for example, Aanestad et al, 2009;Das, Srinivas, Srinivas, & Gazi, 2012;Nieminen, Lindroos, & Heikinheimo, 2012;Samanta, Manna, & Maiti, 2003;Sharma & Samanta, 2013).…”