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A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by…

种群与进化 · 定量生物学 2016-09-02 James P. L. Tan

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

生物物理 · 物理学 2023-11-23 Ikumi Kobayashi

Mutualistic interactions, where species interact to obtain mutual benefits, constitute an essential component of natural ecosystems. The use of ecological networks to represent the species and their ecological interactions allows the study…

种群与进化 · 定量生物学 2023-11-28 Clàudia Payrató-Borràs , Carlos Gracia-Lázaro , Laura Hernández , Yamir Moreno

Uncovering structural properties of ecological networks is a crucial starting point of studying the system's stability in response to various types of perturbations. We analyze pollination and seed disposal networks, which are…

物理与社会 · 物理学 2021-11-16 Sang Hoon Lee

The Lotka-Volterra system is a set of ordinary differential equations describing growth of interacting ecological species. This model has gained renewed interest in the context of random interaction networks. One of the debated questions is…

动力系统 · 数学 2024-04-23 M. N. Mooij , M. Baudena , A. S. von der Heydt , I. Kryven

A central concern of community ecology is the interdependence between interaction strengths and the underlying structure of the network upon which species interact. In this work we present a solvable example of such a feedback mechanism in…

种群与进化 · 定量生物学 2024-04-15 Lyle Poley , Tobias Galla , Joseph W. Baron

Microbial communities routinely have several alternative stable states observed for the same environmental parameters. Sudden and irreversible transitions between these states make external manipulation of these systems more complicated. To…

种群与进化 · 定量生物学 2018-10-12 Veronika Dubinkina , Yulia Fridman , Parth Pandey , Sergei Maslov

A system made up of N interacting species is considered. Self-reaction terms are assumed of the logistic type. Pairwise interactions take place among species according to different modalities, thus yielding a complex asymmetric disordered…

统计力学 · 物理学 2018-11-14 Giulia Cencetti , Franco Bagnoli , Giorgio Battistelli , Luigi Chisci , Duccio Fanelli

In ecological systems heterogeneous interactions between pathogens take place simultaneously. This occurs, for instance, when two pathogens cooperate, while at the same time multiple strains of these pathogens co-circulate and compete.…

种群与进化 · 定量生物学 2025-05-05 Francesco Pinotti , Fakhteh Ghanbarnejad , Philipp Hövel , Chiara Poletto

Models of coordinated behavior of populations living in the same environment are introduced for the cases when they either compete with each other, or they both gain by mutual interactions, or finally when one hunts the other one. The…

动力系统 · 数学 2014-03-19 D. Melchionda , E. Pastacaldi , C. Perri , E. Venturino

Random non-reciprocal interactions between a large number of conserved densities are shown to enhance the stability of the system towards pattern formation. The enhanced stability is an exact result when the number of species approaches…

软凝聚态物质 · 物理学 2025-10-08 Laya Parkavousi , Navdeep Rana , Ramin Golestanian , Suropriya Saha

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…

动力系统 · 数学 2024-02-08 Can Chen , Xu-Wen Wang , Yang-Yu Liu

Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities in mutual interactions are grouped in…

物理与社会 · 物理学 2018-11-21 Giulia Cencetti , Franco Bagnoli , Giorgio Battistelli , Luigi Chisci , Duccio Fanelli

Ecological systems have a high level of complexity combined with stability and rich biodiversity. Recently, the analysis of their properties and evolution has been pushed forward on a basis of concept of mutualistic networks that provides a…

综合金融 · 定量金融 2015-03-13 Leonardo Ermann , Dima L. Shepelyansky

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

生物物理 · 物理学 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Cooperation is ubiquitous ranging from multicellular organisms to human societies. Population structures indicating individuals' limited interaction ranges are crucial to understand this issue. But it is still at large to what extend…

生物物理 · 物理学 2014-04-18 Aming Li , Bin Wu , Long Wang

We present a novel approach to represent ecological systems using reaction networks, and show how a particular framework called Chemical Organization Theory (COT) sheds new light on the longstanding complexity-stability debate. Namely, COT…

种群与进化 · 定量生物学 2019-11-20 Tomas Veloz

Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed simple model has revealed a general mechanism by which such…

适应与自组织系统 · 物理学 2018-01-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

Non-equilibrium thermodynamics has long been an area of substantial interest to ecologists because most fundamental biological processes, such as protein synthesis and respiration, are inherently energy-consuming. Microbial communities are…

种群与进化 · 定量生物学 2022-01-19 Jacob Cook , Samraat Pawar , Robert G. Endres

Ecosystems are commonly conceptualized as networks of interacting species. However, partitioning natural diversity of organisms into discrete units is notoriously problematic, and mounting experimental evidence raises the intriguing…

种群与进化 · 定量生物学 2017-09-22 Mikhail Tikhonov