Asymptotic behaviors of a size-structured population model

Xian long Fu; Qiong Wu

doi:10.1007/s10255-017-0717-7

Asymptotic behaviors of a size-structured population model

Xian long Fu^*
, Qiong Wu

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

Abstract

In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured population dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory.

Original language	English
Pages (from-to)	1025-1042
Number of pages	18
Journal	Acta Mathematicae Applicatae Sinica
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s10255-017-0717-7
State	Published - 1 Oct 2017

Keywords

C-semigroup
Population dynamics
asynchrony
stability

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abstract = "In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured population dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory.",

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AB - In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured population dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory.

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KW - Population dynamics

KW - asynchrony

KW - stability

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Asymptotic behaviors of a size-structured population model

Abstract

Keywords

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