In PHP, object copying involves creating a new instance of a class with the same properties as an existing object, typically using assignment. Object cloning in PHP, however, uses the `clone` keyword to create a duplicate of an object while ensuring that deep copies of references are maintained.
MySQL does not have direct concepts of object copying or cloning as it is a database management system, but you can duplicate tables or data by creating new tables with the same schema or copying data from one table to another.