"prevalent since" is correct and usable in written English.
You can use it when you want to refer to something that has been happening or existing for a period of time. For example: "Climate change has been prevalent since the Industrial Revolution."
Waste was prevalent, since an inadequate transportation system made it nearly impossible to move perishable goods quickly.
The murder of Tiller – based on the information we have so far – was domestic terrorism, the kind that has been prevalent since the 1970s.
He argued that the effect of M.F.A. programs, increasingly prevalent since the nineteen-seventies, has been "to increase the abundance of poetry, but to limit its variety.
Across northern and eastern Syria, where the jihadist groups are strongest, talk of an Iraq-style awakening has been prevalent since the start of the year.
The strapless dresses that have been prevalent since the phrase "red carpet" came into use for celebrity events suddenly look passé.
Or maybe the Washington defenders were worried about incurring the penalties that have become prevalent since the league began fretting about brain damage and other injuries.
Resistance of S. dysenteriae to ampicillin and cotrimoxazole were slightly more prevalent in the previous study (69% vs. 63% and 38% vs. 0%, respectively) whereas resistance of S. flexneri to penicillin A and cotrimoxazole have become considerably more prevalent since 1989 133% vs. 89% and 4.3% vs. 80%, respectively).
It should be noted that Young Adult adaptations have been prevalent ever since the likes of Harry Potter, Twilight, and more recently, The Hunger Games, and The Maze Runner due to the genre being accepted more as the normal with its core audience before adult interest followed the same path.
We limited the study population to HIV-infected women with prevalent HPV, since HR-HPV infection is required for the development of CIN3.
We also excluded 3348 patients with prevalent cancers, since our analysis concerns first primary cancer only.
Methicillin-resistant Staphylococcus aureus (MRSA) has become increasingly prevalent worldwide since it was first reported in a British hospital.
