Asymptotic Properties of a General Model of Immune Status

We consider a model of dynamics the immune system. The is based on three factors: occasional boosting and continuous waning immunity general description period between subsequent events. antibody concentration changes according to non-Markovian process. density distribution this satisfies some partial differential equation with an integral boundary condition. check whether system generates stochastic semigroup we study long-time behavior semigroup. In particular prove theorem its asymptotic stability.