 The blue iguana is established in captivity , both in public and private collections . As there are very few pure @-@ bred animals in private collections , private individuals have established these animals in captive breeding programs as hybrids with the Lesser Caymans Iguana ( C.nubila caymanensis ) and occasional hybrids with the Cuban Iguana ( C.n.nubila ) minimizing the demand for wild @-@ caught specimens for the pet trade . 
