Asymptotic Behaviors of a Size-structured Population Model

被引：3
|
作者：
Fu, Xian-long [1 ]
Wu, Qiong [1 ]
机构：
[1] East China Normal Univ, Shanghai Key Lab PMMP, Dept Math, Shanghai 200241, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2017年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Population dynamics; C-0-semigroup; stability; asynchrony; ASYNCHRONOUS EXPONENTIAL-GROWTH; AGE-DEPENDENT MODEL; EIGENVALUE ASYMPTOTICS; STABILITY; EQUATION; SEMIGROUPS; DIFFUSION;
D O I：
10.1007/s10255-017-0717-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1025 / 1042
页数：18
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