"survive competition" is a correct and usable phrase in written English.
You can use it when referring to people or organizations that manage to compete in a challenging environment. For example: "In a competitive market, only the companies that can survive competition are likely to succeed."
Traditional media can survive competition for readers just fine.
These billion-dollar subsidies helped the fleet survive competition from interstate trucking and civilian aviation.
To survive competition and gain access to the limited housing units in the market, tenants seek the services of rental agents to facilitate their acquisition processes.
These "double-flowered" forms do not survive competition in nature, but they are valued and perpetuated horticulturally because of their showier flower heads.
It has to survive the heat, it has to survive competition from other colonies as well as from predators – there's always a lizard out there looking to slurp down some stray foragers.
But can sub-Saharan Africa's garment trade survive competition from Asia?Lesotho's modern textile industry was started in the late 1980s by foreign investors who wanted to avoid sanctions imposed on South Africa, but were keen to use good South African roads and ports to export their products.
Three things suggest that even its low-tech companies have a good chance of surviving competition from cheaper countries.
That habitat destruction did in rats that survived competition with smaller relatives, predators like monitor lizards and large birds, and human hunting.
Half the American teamselected in a national Olympiad from 100 students who survived competition among 370,000‐came from New York State: James G. Propp from Great Neck, L.I.; Ronald F. Kaminsky from Albany; Mark P. Kleiman from Staten Island, and Paul G. Weiss from Brooklyn.
After surviving competition from another crew named the Texans — this one in the upstart American Football League — it went on to win five Super Bowls, redefine the art of cheerleading and inspire the equal levels of adoration and resentment reserved for arrogant conquerors everywhere.
Cable survived competition from the DVD rental store.
