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Dynamics of antibody levels: asymptotic properties
  • Katarzyna Pichór,
  • Ryszard Rudnicki
Katarzyna Pichór
University of Silesia
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Ryszard Rudnicki
Polish Academy of Sciences Institute of Mathematics
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Abstract

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 behaviour of this semigroup is studied. In particular we prove theorems on its asymptotic stability.

Peer review status:ACCEPTED

19 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
25 Jan 2020Assigned to Editor
25 Jan 2020Submission Checks Completed
28 Jan 2020Reviewer(s) Assigned
05 May 2020Review(s) Completed, Editorial Evaluation Pending
07 May 2020Editorial Decision: Accept