Special Session 64: 

Periodic solutions of a stem cell population model with state-dependent delay

Istvan Balazs
Bolyai Institute, University of Szeged
Hungary
Co-Author(s):    Philipp Getto
Abstract:
We consider a system of differential equations with state-dependent delay, describing the size of a population of stem cells. We show that, for some initial functions, the solution is slowly oscillating. Using fixed point index theory developed by Roger Nussbaum, we prove existence of nontrivial slowly oscillating periodic solutions.