具有时间依赖延迟的竞争性恒化模型

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-08-14 DOI:10.1016/j.nonrwa.2025.104476

Teresa Faria , Jaqueline G. Mesquita

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引用次数: 0

摘要

推导并研究了一个具有时间依赖延迟的非自主恒化模型，该模型模拟了竞争中的n个微生物。在系数和时变时滞的非常温和的一般条件下，我们研究了所有物种的灭绝，并在周期系统的情况下，研究了非平凡和非负周期解的存在性。对于具有简单微生物的模型，建立了均匀持续的判据，该判据还包含了任意正解的全局吸引性。由此导出了周期正解的存在性、唯一性和全局吸引性的判据。这些结果在很大程度上概括和加强了最近在文献中的成就。

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A competitive chemostat model with time-dependent delays

A non-autonomous chemostat model with time-dependent delays modelling

n

microorganisms in competition is derived and studied. Under very mild general conditions on the coefficients and time-varying delays, we study the extinction of all the species and, in the case of a periodic system, the existence of nontrivial and nonnegative periodic solutions. For the model with a simple microorganism, a criterion for the uniform persistence is established, which also implies the global attractivity of any positive solution. In this way, a criterion for the existence, uniqueness and global attractivity of a positive periodic solution is derived. These results largely generalise and enhance recent achievements in the literature.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.