Stop model re-query after table sort or filter

In a table created from Model A, I check boxes next to some rows, and press a button to now display only these checked records in the table.

To do this, I created another model (Model B), where after pressing the button the selected rows are adopted into Model B. Then, the all rows are deleted in Model A. And lastly, the rows from Model B are adopted into Model A. This works until I filter or sort.

I want users to be able to sort and filter on this selection. However, after sorting or filtering, Model A is re-queried and all records are displayed again.

Does anyone have a suggestion on how to stop the model from being re-queried after clicking filter or sort?

Thanks