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

Cheng Hung Hung; Yu Hsien Chang

doi:10.1007/s13160-019-00352-8

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

Cheng Hung Hung, Yu Hsien Chang^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	461-472
Number of pages	12
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1007/s13160-019-00352-8
Publication status	Published - 2019 Jul 1

Keywords

Chaos
Solution semigroup

ASJC Scopus subject areas

General Engineering
Applied Mathematics

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10.1007/s13160-019-00352-8

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abstract = "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.",

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author = "Hung, {Cheng Hung} and Chang, {Yu Hsien}",

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AU - Chang, Yu Hsien

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N2 - 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.

AB - 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.

KW - Chaos

KW - Solution semigroup

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JF - Japan Journal of Industrial and Applied Mathematics

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ER -

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

Abstract

Keywords

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