Sharp profiles for diffusive logistic equation with spatial heterogeneity

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0061

Yan-Hua Xing, Jian-Wen Sun

引用次数: 0

Abstract

Abstract In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the positive solutions. The main results exhibit the sharp effects between boundary conditions and linear/nonlinear spatial heterogeneities on positive solutions.

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具有空间异质性的扩散逻辑方程的锐剖面

摘要本文研究了扩散logistic方程正解的尖锐轮廓。通过引入参数并分析相应的扰动方程，我们发现了边界和空间异质性对正解的影响。主要结果显示边界条件和线性/非线性空间异质性对正解的显著影响。

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

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.