Which is included in a lysogenic cycle?

Here is the steps of the lysogenic cycle. Lysogenic cycle occurs only in temperate phages.

1. After the phage attached to the host cell, it will then inject its own DNA. 
2. The inserted DNA circularizes.
3. The DNA is integrated into the host cell DNA. This is done through recombination.
4. Each time the cell replicates, the prophage is reproduced together with the host DNA.
5. The prophage excise itself from the host DNA. But this is very rare.