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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	461-472
頁數	12
期刊	Japan Journal of Industrial and Applied Mathematics
卷	36
發行號	2
DOIs	https://doi.org/10.1007/s13160-019-00352-8
出版狀態	已發佈 - 2019 7月 1

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一般工程
應用數學

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10.1007/s13160-019-00352-8

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title = "Frequently hypercyclic properties of the age and maturity structured model of population",

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.",

keywords = "Chaos, Solution semigroup",

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

note = "Publisher Copyright: {\textcopyright} 2019, The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature.",

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

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