Frequently hypercyclic properties of the age and maturity structured model of population

  • Cheng-Hung Hung
  • Yu-Hsien ChangEmail author
Original Paper


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.


Solution semigroup Chaos 

Mathematics Subject Classification

35K30 47D03 



The authors would like to express their gratitude to the reviewers for their useful suggestions and modifications.


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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsNational Taiwan Normal UniversityTaipeiTaiwan, ROC

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