The lysogenic cycle is a method by which certain viruses, known as bacteriophages, infect host cells. In this cycle, the virus injects its genetic material into the host cell, which then integrates this viral DNA into its own genome. This integrated viral DNA, called a prophage, can remain dormant for long periods, replicating along with the host's DNA during cell division. When conditions become favorable, the prophage can exit the host genome and enter the lytic cycle, where it begins to produce new virus particles. Eventually, the host cell is destroyed, releasing these new viruses to infect other cells.