No bite statute, so scienter, negligence or an ordinance
Summaries agree that Wyoming has no dog bite statute, and that the Supreme Court's Gannon v. Voss (2003) set out scienter, negligence and negligence per se as the routes to recovery.
Your own fault is governed by W.S. 1-1-109, and the deadline is four years under W.S. 1-3-105.