Unlike a lytic virus, a lysogenic virus does not cause the host cell to lyse away. A lysogenic virus can remain inactive for a period of time. In lysogenic infection, viral DNA gets integrated with the host cell's DNA, where it is copied along with the host cell's DNA when the host cell replicates. Viral DNA multiplies as the host cell multiplies. Each new daughter cell created is infected with the virus' DNA.
Viral DNA that becomes embedded in a bacterial host cell's DNA is called a prophage. Viral DNA that becomes embedded in an eukaryotic cell's DNA is called a provirus. The prophage/provirus may remain part of the DNA of the host cell for many generations. Influences from the environment, such as radiation, heat, and certain chemicals, trigger the prophage/provirus to become active. It then removes itself from the host cell's DNA and enters the lytic cycle.
Directions: Watch Virus Lysogenic Cycle to see the complete process of the lysogenic cycle.