[Vuejs]-Keep button disabled when user voted after page reload

There is no way you can show the user input again after the refresh of the page unless you save it in your database. If you wish to keep it temporarily, that can be done with the use of something called sessions, with the help of server side languages like PHP or local storage in browser. But this is still of no use in your case where you wish to show vote/like/dislike, which is something you have to show from any device, any time.