Mathematical analysis of a model of age-cycle length structured cell population with quiescence

In this work, we model the dynamics of an Age-Cycle Length structured cell population. At each time, the cell population is divided into two interacting compartments: Proliferating cells and Quiescent cells. Each cell is then: Proliferating (Active) or Quiescent (Resting). We prove that this new Proliferation-Quiescence model is well posed.