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Existence of periodic and almost periodic solutions in a resonant model on stem cell dynamics
  • Carlos Alliera
Carlos Alliera
Universidad de Buenos Aires
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Abstract

This work deals with the existence of almost periodic solutions in a biological model, the model proposed by VG Nazarenko and E.E. Sel'kov of stem cell dynamics. This article demonstrates the existence of almost periodic solutions, for this purpose, the constant parameters of the system were changed to almost periodic functions which allows greater adaptability in biological cases such as this. This kind of changes have already been raised in other biological systems. In this case we will use the implicit function theorem to prove the existence of periodic solutions.

Peer review status:UNDER REVIEW

03 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
09 Feb 2021Assigned to Editor
09 Feb 2021Submission Checks Completed
14 Feb 2021Reviewer(s) Assigned
06 Jun 2021Review(s) Completed, Editorial Evaluation Pending