Dynamics of antibody levels: asymptotic properties. (English) Zbl 1491.92119
Summary: We study properties of a piecewise deterministic Markov process modeling the changes in concentration of specific antibodies. The evolution of densities of the process is described by a stochastic semigroup. The long-time behavior of this semigroup is studied. In particular, we prove theorems on its asymptotic stability.
Keywords:
asymptotic stability; flow with jumps; immune status; physiologically structured population; stochastic semigroupReferences:
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