"continue surviving" is correct and usable in written English.
You can use it to indicate that someone should keep living, usually in a difficult or dangerous situation. For example, "Despite the difficulties of living in a war zone, the refugees had to continue surviving."
As the struggle to continue surviving becomes worse, he comes across help in a doctor who is running a small orphan home.
He is more humble after being discarded by two other teams this season, which is a smart strategy if he wants to continue surviving.
Among others, these artists have shown how far and for how long human and creative development can continue, surviving flops and falls and excess and error – thus providing some models of growing up for which we can be grateful.
On private land, and in common parlance, these offensive names often continue, surviving a century of social change, lasting through Reconstruction, world wars, the civil rights movement, right up until the current moment, when the word has added new doubts to Mr. Perry's staggering political campaign.
"But I don't know what will happen tomorrow, or the day after that, or if we can continue surviving".
And I don't know that a lot of people would understand that but it's because of what you've through ― you survived so much that you inspire me to continue surviving.
The human race has survived, and will continue to survive and live and flourish and reach the summit of virtues breathtaking.
The semicolon acts as a daily reminder that they have survived, and can continue to survive, because they are not alone.
The others advance toward him, slowly crawling and walking, and he hops nervously about, unsure of how to continue — a surviving structure in a landscape laid waste.
As you continue playing, surviving becomes painful, and eating Cooked Morsel, Frog Legs, and Berries won't be enough.
A lot of people think that if the buildings have survived so far, they can continue to survive without special care.
