具结构化的细菌种群模型解的渐近行为

数学物理学报 ›› 2018, Vol. 38 ›› Issue (1): 156-167.

具结构化的细菌种群模型解的渐近行为

王胜华, 程国飞

上饶师范学院江西上饶 334001

收稿日期:2017-01-13 修回日期:2017-07-31 出版日期:2018-02-26 发布日期:2018-02-26
作者简介:王胜华,wshua@sru.jx.cn
基金资助:
国家自然科学基金（11461055）

The Asymptotic Behavior of the Solution in Structured Bacterial Population Model

Wang Shenghua, Cheng Guofei

Shangrao Normal University, Jiangxi Shangrao 334001

Received:2017-01-13 Revised:2017-07-31 Online:2018-02-26 Published:2018-02-26
Supported by:
Supported by the NSFC (11461055)

摘要/Abstract

摘要： 该文在L¹空间上，研究了在一般边界条件下具结构化的细菌种群模型，讨论了该模型生成的正C₀迁移半群是不可约的和迁移算子的谱分析，得到了该迁移方程的解在一致拓扑意义下的渐近行为，从而给出了该细菌种群的异步生长特性等结果.

关键词: 结构化的细菌种群, 一般边界条件, 迁移方程, 谱分析, 渐近行为

Abstract: The objective of this paper is to research the model of structured bacterial populations with generalized boundary condition in L¹ space, It is discussed that the irreducibility of the generated C₀ positive semigroup and the spectral analysis of the transport operator for this model, It is to obtain that the asymptotic behavior of the transport equation's solution in the uniform topology, which allows us to describe the asynchronous growth property of the studied bacterial population and so on.

Key words: Structured bacterial population, Generalized boundary condition, Transport equation, Spectral analysis, Asymptotic behavior

中图分类号:

O177.2

王胜华, 程国飞. 具结构化的细菌种群模型解的渐近行为[J]. 数学物理学报, 2018, 38(1): 156-167.

Wang Shenghua, Cheng Guofei. The Asymptotic Behavior of the Solution in Structured Bacterial Population Model[J]. Acta mathematica scientia,Series A, 2018, 38(1): 156-167.

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