Final answer:
The system of regulation in bacteriophage life cycle operates under negative control, as the temperate phage remains inactive until stressors induce the lytic cycle.
Step-by-step explanation:
The regulation of the lytic and lysogenic cycles in bacteriophages can be characterized as being under negative control. In a lysogenic cycle, a temperate bacteriophage's DNA integrates into the bacterial chromosome as a prophage. During this state, several operons maintain the prophage state by interacting with a repressor that prevents the initiation of the lytic cycle.
When environmental stressors such as ultraviolet light or toxic chemicals affect the bacterial cell, they lead to the breakdown of the repressor. This, in turn, causes the production of enzymes involved in the lytic cycle. Because the repressor actively inhibits the lytic cycle under normal conditions, and a stress-induced breakdown of the repressor is required to initiate the lytic cycle, this system of regulation is considered to be operating under negative control.