非保守周期半流的哈里斯方法及其在一些非局部 PDE 中的应用

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2024-11-04 DOI:10.1007/s10440-024-00698-3

Adil El Abdouni

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引用次数: 0

摘要

在本文中，我们提出了一些类似哈里斯的标准，以研究一般正周期半流的长期行为。通过这些标准，我们可以获得主等元的新存在结果及其指数吸引力。我们介绍了在时空变化环境中两个生物模型的应用：非局部选择-突变方程和生长-分裂方程。这篇文章的特别之处在于研究了一些在时间上具有周期性的非均质问题，例如，当环境因季节周期或昼夜节律而发生变化时，就会出现这种问题。

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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Harris’s Method for Non-conservative Periodic Semiflows and Application to Some Non-local PDEs

In this paper we propose some Harris-like criteria in order to study the long time behavior of general positive and periodic semiflows. These criteria allow us to obtain new existence results of principal eigenelements, and their exponential attractiveness. We present applications to two biological models in a space-time varying environment: a non local selection-mutation equation and a growth-fragmentation equation. The particularity of this article is to study some inhomogeneous problems that are periodic in time, as it appears for instance when the environment changes, due for instance to the seasonal cycle or circadian rhythms.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.