多孔介质类型的生物入侵在异质空间中的扩散。

IF 2.2 4区数学 Q2 BIOLOGY Journal of Mathematical Biology Pub Date : 2024-07-21 DOI:10.1007/s00285-024-02124-6

Hyunjoon Park, Yong-Jung Kim

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引用次数: 0

摘要

行波解的知识是研究波传播的主要工具。然而，在空间异质环境中，行波解并不存在，因此需要一种不同的方法。本文研究了 KPP 型反应-扩散方程在承载能力空间异质和扩散为多孔介质方程类型时双曲尺度奇异极限的产生和传播。我们发现，界面传播速度随承载能力而变化。

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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Biological invasion with a porous medium type diffusion in a heterogeneous space.

The knowledge of traveling wave solutions is the main tool in the study of wave propagation. However, in a spatially heterogeneous environment, traveling wave solutions do not exist, and a different approach is needed. In this paper, we study the generation and the propagation of hyperbolic scale singular limits of a KPP-type reaction-diffusion equation when the carrying capacity is spatially heterogeneous and the diffusion is of a porous medium equation type. We show that the interface propagation speed varies according to the carrying capacity.

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来源期刊

Journal of Mathematical Biology 生物-生物学

CiteScore

3.30

自引率

5.30%

发文量

120

审稿时长

6 months

期刊介绍： The Journal of Mathematical Biology focuses on mathematical biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Areas of biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, biofluids, DNA and protein structure and function. All mathematical approaches including computational and visualization approaches are appropriate.