A 2-4-D product such as "Trimic Plus" or if you don't have a restriction license, your local garden and hardware supply store should carry Ortho's "Weed-B-Gon. The thing about weed killers, wait at least 2 days after mowing, temps need to be consisently between 55 but not over 70 degrees during day and night
Oh by the way, can get control, but never rid of wild strawberry. It takes time.
J-LC Landscaping & Maintenance Gardening
C-27 CA. Contr# 770044