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Dynamics of antibody levels: asymptotic properties
  • Katarzyna Pichór,
  • Ryszard Rudnicki
Katarzyna Pichór
University of Silesia

Corresponding Author:[email protected]

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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
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25 Jan 2020Submission Checks Completed
25 Jan 2020Assigned to Editor
28 Jan 2020Reviewer(s) Assigned
05 May 2020Review(s) Completed, Editorial Evaluation Pending
07 May 2020Editorial Decision: Accept