Experts and BHG readers answer.
How do I get rid of daylilies out of control?
By strife, I assume you mean loosestrife (either purple or yellow loosestrife can spread through the garden). There's no simple way to eliminate daylilies and loosestrife. Even herbicides often take multiple applications to eradicate them.
A couple of possibilities:
1. dig them out, taking care to remove all sections of the roots.
2. try smothering them with a thick mulch
3. repeat applications of a nonselective herbicide such as glyphosate.