季节性合作系统的几乎周期性解

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2021-01-01 DOI:10.4064/ap210128-19-8

H. Díaz-Marín, F. J. López-Hernández, O. Osuna

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引用次数: 5

摘要

给出了一类合作概周期系统稳定概周期解存在的一个判据。给出了该概周期解在某定义域上全局稳定的条件。我们将我们的结果应用于几乎具有周期性生长因子的细胞体积生长产生的系统，以及几乎具有周期性底物输入和几乎周期性酶替换的Michaelis-Menten形式建模酶动力学产生的系统。

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Almost periodic solutions for seasonal cooperative systems

We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.