Modern creation, likely a blend of Ty and Erika
Tyrika is a modern American name likely formed by combining the popular prefix 'Ty-' with the name Erika. It follows a 20th-century trend of creating unique feminine names by blending established phonetic elements. Because it is a contemporary coinage, it does not have a singular ancient etymological root.
Less common today
Tyrika isn't in the latest US Top 1000. It last peaked at #5,619 in 1991.
US births per 5-year period, 1990βpresent (SSA data).