Verb stem + 続ける

A verb stem + 続ける can be used to describe an action that continues to occur. Tobira states that it's used when the subject continues volitionally.

外国語が上手になりたかったら、あきらめないで毎日勉強し続けることが大切です。
If you want become skilled in a foreign language, it's important to not give up, and to continue to study every day.

子供は寒かったのに、友達と外で遊び続けた。
Even though the child was cold,  he continued to play outside with his friend.

赤ちゃんが朝まで泣き続けたので、お母さんは全然寝られなかった。
Because the baby continued to cry until morning, the mother couldn't sleep at all.

スバル君はお腹が空いたから、月光の下に血を吸い続けてた。
Subaru-kun was hungry, so he continued to suck blood beneath the moonlight.