种群动力学中概周期解的全局稳定性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED Quarterly of Applied Mathematics Pub Date : 2022-10-20 DOI:10.1090/qam/1636

H. Díaz-Marín, O. Osuna

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引用次数: 0

摘要

研究具有连续几乎周期时间依赖性的一阶微分方程。给出了概周期解的存在性和全局稳定性判据。我们的研究结果对单一物种种群动态的研究特别有用，例如具有几乎周期性参数的logistic模型。几乎周期性的时间依赖性也为造血疾病动力学模型中的振荡解提供了解释。

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Global stability of almost periodic solutions in population dynamics

We study first order differential equations with continuous almost periodic time dependence. We propose existence and global stability criteria of almost periodic solutions. Our results are specially useful in the study of one species population dynamics, such as logistic models with almost periodic parameters. Almost periodic time dependence also provides an explanation for oscillatory solutions in models of hematopoiesis disease dynamics.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.