Historically, the African side of the Mediterranean was mostly influenced by:

The European side of the Mediterranean was mostly influenced by Greek & Roman Cultures. The reason why this would be your answer is because on the European side of the Mediterranean sea, Rome and Greece are right next to the sea. Greece and Rome are located in Europe. Because the Romans and the Greeks were right next to the Mediterranean sea, they have easy access to it, causing the Mediterranean sea to be run by the Greeks and Romans on the European side.