Turing instability for a Leslie–Gower model

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-11 DOI:10.1007/s11587-023-00819-4

F. Capone, R. De Luca, L. Fiorentino, V. Luongo, G. Massa

引用次数: 0

Abstract

Abstract The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set. The existence of patterns is investigated by looking for conditions guaranteeing that an equilibrium, stable in the absence of diffusion, becomes unstable when diffusion is allowed.

Abstract Image

查看原文本刊更多论文

莱斯利-高尔模型的图灵不稳定性

摘要本文研究了一个反应-扩散的Leslie-Gower捕食者-被食饵模型，该模型包含了种群内捕食、自扩散和交叉扩散。分析了解的长期行为，证明了吸收集的存在性。模式的存在性是通过寻找保证在没有扩散时稳定的平衡在允许扩散时变得不稳定的条件来研究的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.