Jihad is the obligation of each Muslim, within his abilities, to spread Islam in the world and it supposes to last up to the day that the last non Muslim human being recognizes Islam as the true faith. Generally the obligation of Jihad was understood as a peaceful method of setting a personal and social example of moral and caring behavior so others will join Islam because of its clear advantage for human desire for better, honest and non violent life. But during history, especially in the early days of Islam, Jihad by sword was an acceptable method, although never the only way to distribute and promote Islam. By its definition Jihad is, therefore, Global.
Initially, in the early days of Islam, Jihad was not against Jews or Christians, who believed in the same abstract God and were not forced to convert to Islam, but against the pagans who were forced to convert to Islam or face death.