Stability of ecological systems: A theoretical review

被引：1

作者：

Chen, Can ^{[1
,2
]}

Wang, Xu-Wen ^{[3
]}

Liu, Yang-Yu ^{[3
,4
]}

机构：

[1] Univ North Carolina Chapel Hill, Sch Data Sci & Soc, Chapel Hill, NC 27599 USA

[2] Univ North Carolina Chapel Hill, Dept Math, Chapel Hill, NC 27599 USA

[3] Harvard Med Sch, Brigham & Womens Hosp, Dept Med, Channing Div Network Med, Boston, MA 02115 USA

[4] Univ Illinois, Carl R Woese Inst Genom Biol, Ctr Artificial Intelligence & Modeling, Champaign, IL 61801 USA

来源：

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2024年 / 1088卷

基金：

美国国家卫生研究院;

关键词：

Stability; Ecological systems; Lyapunov theory; Network structure; Random matrix theory; Generalized Lotka-Volterra model; Consumer-resource models; Higher-order interactions; HIGHER-ORDER INTERACTIONS; SOIL STRUCTURAL STABILITY; LOTKA-VOLTERRA EQUATIONS; PREDATOR-PREY DYNAMICS; ROBUST D-STABILITY; DIAGONAL STABILITY; GLOBAL STABILITY; QUALITATIVE STABILITY; INTERACTION STRENGTHS; ASYMPTOTIC STABILITY;

D O I：

10.1016/j.physrep.2024.08.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on the theoretical frameworks for analyzing the stability of ecological systems. Notably, we survey various stability notions, including linear stability, sign stability, diagonal stability, D-stability, total stability, sector stability, and structural stability. For each of these stability notions, we examine necessary or sufficient conditions for achieving such stability and demonstrate the intricate interplay of these conditions on the network structures of ecological systems. We further discuss the stability of ecological systems with higher-order interactions. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：1 / 41

页数：41

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