Stability analysis of a conservative reaction–diffusion system with rate controls

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-14 DOI:10.1016/j.aml.2025.109457

Jie Ding, Fei Xu, Zhi Ling

引用次数: 0

Abstract

This paper demonstrates the fundamental properties of a conservative reaction–diffusion system. The solution of the system exists globally and is unique, as well as uniformly converges to its constant equilibrium as time tends to infinity. In addition, the steady-state system only has a constant solution under a mass conservation condition.

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具有速率控制的保守反应扩散系统的稳定性分析

本文证明了一类保守反应扩散系统的基本性质。系统的解全局存在且唯一，并在时间趋于无穷时一致收敛于其常平衡态。此外，稳态系统只有在质量守恒条件下才有常数解。

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.