the type of infection in which a virus does not immediately start replicating itself but inserts a piece of DNA ino the host cell's genome which becomes activated at a later date
The type of infection you are referring to is called a latent infection. In a latent infection, the virus enters the host cell and inserts its genetic material (DNA or RNA) into the host's genome, but it does not immediately start replicating itself or causing any noticeable symptoms.
Instead, the viral genetic material remains dormant or inactive within the host cell for an extended period. The virus may remain latent for days, months, or even years, with no active viral replication or production of new virus particles.
At a later date, certain triggers or conditions may lead to the reactivation of the latent virus. When the virus becomes activated, it starts replicating itself within the host cell, leading to viral replication, shedding, and potential disease symptoms.
Examples of viruses that can establish latent infections include human immunodeficiency virus (HIV), herpes simplex virus (HSV), varicella-zoster virus (responsible for chickenpox and shingles), and human papillomavirus (HPV), among others.