I'm still not 100% sure I understand, but it sounds like what you want is to stop Bob reassigning the issue to someone else.
Have a look at the permission scheme - you need to modify it in a way that says "Bob is not included in the people who can assign issues in this project"
If you spend enough time as a Jira admin - whether you are managing a single, mid-sized instance, a large enterprise one or juggling multiple instances at once - you will eventually find yourself in ...
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