Biblically, the sons of Jacob are the children of Jacob, who was renamed "Israel".
However, there is a deeper meaning to the term "Israel" raised by the appearance of the term "spiritual Israel", the Israel of God.
Since the promise to Abraham, that the world would be blessed through him, was passed on to his children, by the clarification that the world would be blessed through his children, one needs to understand that the Bible teaches that the children of Abraham are not identified by flesh, descent or conversion, but by believing God's revelations.
That's why Jesus mentions that He had sheep who belong to another flock. They were people who believed God's revelation either through a formal covenant or through their conscience, but who were not Jews.
As a result, we can understand that the recognised sons of Jacob according to the Bible are people who believe what God reveals to them. They are found among those who are labelled Jews, Christians, Muslims, Hindus, etc., Theists, and are identified by faith, not by possessing Torah, circumcision, or by blood descent.
There is no Biblical reference to sons of Jacob who are asleep.