OSPF is an Interior Gateway Protocol (IGP) used for routing within a single autonomous system, while BGPv4 is an Exterior Gateway Protocol (EGP) used for routing between autonomous systems. They compete in the sense that an organization must choose which protocol to use for internal routing (OSPF) and external routing (BGP). In smaller networks, BGP can replace the need for OSPF. However, typically OSPF handles internal routing and BGP external.