Predatory journals fill up my email in box every day. It's important to remember that our research students may not have received emails from them until they begin publishing.
Here is a recent paper from Nature about predatory journals: https://www.nature.com/articles/d41586-019-03759-y
The consensus definition reached was: “Predatory journals and publishers are entities that prioritize self-interest at the expense of scholarship and are characterized by false or misleading information, deviation from best editorial and publication practices, a lack of transparency, and/or the use of aggressive and indiscriminate solicitation practices.”
I have copied one of my favourite (funny) invitations below received on 10 December asking for a paper by 17 December.