抽象模型的数学分析及其在结构种群中的应用(I)

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/eect.2022021

M. Boulanouar

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引用次数: 0

摘要

本文的第一部分讨论了一个与内解有关的边界条件的积分微分算子。证明了该模型是由一个强连续半群控制的，并精确了它的生长不等式。在本文的第二部分，我们通过一个一阶方程组来模拟扩散-静止阶段。我们还证明了增殖-静止模型是由一个强连续半群控制的，并精确了它的生长不等式。最后，给出了在人口统计学和生物学中的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mathematical analysis of an abstract model and its applications to structured populations (I)

The first part of this works deals with an integro–differential operator with boundary condition related to the interior solution. We prove that the model is governed by a strongly continuous semigroup and we precise its growth inequality. In the second part of this works, we model the proliferation-quiescence phases through a system of first order equations. We also prove that the proliferation-quiescence model is governed by a strongly continuous semigroup and we precise its growth inequality. In the last part, we give some applications in Demography and Biology.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.