Sometimes at the end of youTube videos that you have embedded on an external site will display a list of related videos. This does not help with your site continuity.
Luckily there is a way to disable the related videos feature. Your embed code will most likely look something like:
What we want to do is to add to the iframe src, we just add the parameter:
So now we have:
and you are good to go, no more related videos.