The virus doesn't die it was never alive. Yes the host is the body.
Thanks for the answer Teak, but to be more specific... even in residual fluid once in contact with the air, then the virus dies is that correct? By host you meant someone's body?
NO. HIV is not alive.
HIV is unable to reproduce outside its living host (unlike many bacteria or fungi, which may do so under suitable conditions), except under laboratory conditions, therefore, it does not spread or maintain infectiousness outside its host.