All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
The travel ticket is your father's property, so it becomes the property of his heirs after his death.
All properties that a dead person leaves behind him are considered inheritance which is distributed among all his heirs according to the inheritance rulings mentioned in the Quran and the Sunnah of the Prophet .
Therefore, the price of the ticket should be distributed among all the heirs. So, if your father has inheritors other than you, then it is to be distributed among all of them. You are not allowed to appropriate it unless they permit you. If they permit you to use it while they are all adults and sane, then you may use it as you wish and you are not obliged to spend a part of it on the needy people.
Allaah Knows best.