Note on the diffusive prey-predator model with variable coefficients and degenerate diffusion

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-10-11 DOI:10.1016/j.aml.2024.109335

Mingxin Wang

引用次数: 0

Abstract

It is of interest to understand effects of variable coefficients and degenerate diffusion on the longtime behaviors of solutions of reaction diffusion equations. Recently, Yang and Yao (2024) studied a classical prey-predator model and proved that the degradation of the diffusion coefficient of the prey and variable coefficients satisfying the appropriate conditions will not affect dynamical properties. In this note we shall simplify the proof of Yang and Yao (2024) and delete the condition (4).

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关于具有可变系数和退化扩散的猎物-猎食者扩散模型的说明

了解可变系数和退化扩散对反应扩散方程解的长期行为的影响是很有意义的。最近，Yang 和 Yao（2024）研究了一个经典的猎物-捕食者模型，证明了满足适当条件的猎物扩散系数和可变系数的退化不会影响动力学性质。在本注释中，我们将简化 Yang 和 Yao (2024) 的证明，删除条件 (4)。

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.