Why can a lytic virus remain in a particular host cell only for a limited time?

Because lytic virus reproduces its phages immediately leading to bursting of the host cell for the new phages to leave.

Explanation:

Viruses employ two major cycles to reproduce themselves namely: lytic and lysogenic cycles. Lytic cycle involves the entrance of the viral cell into its host, using its host's replicational abilities to reproduce and bursting of the cell.

The lytic cycle is carried out by strains of virus called VIRULENT STRAINS. They use the host cell to produce many virions and destroy the cell by lysis in order to leave the host cell. This accounts for the reason they DO NOT STAY LONG IN THEIR HOST CELL.

as the gila monster consumes the eggs or young of the desert cottontail and gambel's quail, thus its main food supply is only accessible for a restricted time duration every year. however, for this, the gila monsters exhibit three adaptations, which elevate their survival rate in the desert condition.  

first, is that they possess huge bodies, and can consume greater concentrations of food during a small period. secondly, they require to feed infrequently as they can accumulate fat in their tails. ultimately, their rate of metabolism is very low, so that they can burn their reservoirs of fat gradually.