斯蒂尔茨微分与积分方程背景下的logistic方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.14232/ejqtde.2023.1.10

Equations Ignacio Márquez Albés, A. Slavík

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引用次数: 1

摘要

本文引入了具有Stieltjes导数的logistic方程，并给出了显式的求解公式。作为应用，我们提出了一个涉及种内竞争、冬眠周期和季节性繁殖周期的种群模型。我们还处理了各种形式的Stieltjes积分方程，并找到了相应的logistic方程。我们证明我们的工作扩展了时间尺度上动力学方程的早期结果，这为本文提供了灵感。

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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The logistic equation in the context of Stieltjes differential and integral equations

In this paper, we introduce logistic equations with Stieltjes derivatives and provide explicit solution formulas. As an application, we present a population model which involves intraspecific competition, periods of hibernation, as well as seasonal reproductive cycles. We also deal with various forms of Stieltjes integral equations, and find the corresponding logistic equations. We show that our work extends earlier results for dynamic equations on time scales, which served as an inspiration for this paper.

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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.