There are the concepts and disputes as if the name Goji is used as the name for the same plant, which is told to be the wolfberry in the west. Lycium fruit is the main common scientific name for the plant. There are the plants, which are told to be totally different as Goji and wolfberry. 
Wolfberry is mainly an English name. It is found in west for long time. Goji is not the single berry but it has a lot of varieties, there are found 41 species in Tibet and so it is in all Asian countries. There are disputes and differences in the concepts of the wolfberry or the Goji as there are the plants, which are told to be totally different as Goji and wolfberry. Wolfberry is mainly an English name. It is found in west for long time but the Goji plant has many types and spices, which is a difference from the wolfberry plant.