It is a great ground cover! Are you sure you want to eliminate it? If so, borders may be helpful at containing it.
Round up also sells a precision gel that you can apply only to the stuff you want gone.
Hello Before considering a herbicide—Consider offering it to family and friends. Perhaps they will remove it and give it a happy home. Many dont like to mow and its good erosion control it preforms as an excellent groundcover and mulch under trees where grass refuses to grow.