Frequently hypercyclic properties of the age and maturity structured model of population
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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.
KeywordsSolution semigroup Chaos
Mathematics Subject Classification35K30 47D03
The authors would like to express their gratitude to the reviewers for their useful suggestions and modifications.
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