In this paper, we study the behavior of the solution semigroup of the time-age-maturity structured cell cycle model of population with a nonlinear coefficient (hereafter NAMP). First, we solve the model without a nonlinear term (hereafter AMP). We find that the solution of AMP is the product of solutions of the time-age model (hereafter AP) and the time-maturity model (hereafter MP). We also idendtify the chaotic and frequently hypercyclic properties of the MP solution and apply the results to AMP. Finally, we use AMP to express the solution of NAMP and describe its asymptotic behavior.
|Number of pages||12|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - 2019 Jul 1|
- Solution semigroup
ASJC Scopus subject areas
- Applied Mathematics