On a nonautonomous nonlinear model for cell growth and division

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-01 DOI:10.1016/j.aml.2025.109528

Qihua Huang, Jie Ou, Xiumei Deng

引用次数: 0

Abstract

In this paper, we propose and analyze a nonautonomous, nonlinear size-structured population model that describes the growth and division of cells. By applying the monotone method based on a comparison principle, we establish the well-posedness of the model. We then investigate the long-term behavior of the solution using the upper–lower solution approach. Specifically, we derive conditions on the model parameters that determine the persistence or extinction of the cell population.

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细胞生长和分裂的非自治非线性模型

在本文中，我们提出并分析了一个描述细胞生长和分裂的非自治、非线性大小结构群体模型。采用基于比较原理的单调法，建立了模型的适定性。然后，我们使用上下解方法研究解决方案的长期行为。具体地说，我们推导了决定细胞群体持续或灭绝的模型参数的条件。

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.