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A substantial number of studies have extended the work on universal properties in physical systems to complex networks in social, biological, and technological systems. In this paper, we present a complex networks perspective on interfirm…

Physics and Society · Physics 2011-08-10 Dan Braha , Blake Stacey , Yaneer Bar-Yam

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

Populations and Evolution · Quantitative Biology 2026-04-30 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Simon A. Levin , Andrea Rinaldo , Amos Maritan

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

Populations and Evolution · Quantitative Biology 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

Quantitative predictions about the processes that promote species coexistence are a subject of active research in ecology. In particular, competitive interactions are known to shape and maintain ecological communities, and situations where…

Populations and Evolution · Quantitative Biology 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

Environmental variation can play an important role in ecological competition by influencing the relative advantage between competing species. Here, we consider such effects by extending a classical, competitive Moran model to incorporate an…

Populations and Evolution · Quantitative Biology 2019-09-18 Ryan Murray , Glenn Young

Microbial communities harbor extensive fine-scale diversity: closely-related strains of the same species coexist alongside many distantly-related taxa. Yet strain coexistence remains poorly understood, largely because most studies neglect…

Populations and Evolution · Quantitative Biology 2026-03-17 Naven Narayanan Venkatanarayanan , Akshit Goyal

We study the phenomenon of multistability in mutualistic networks of plants and pollinators, where one desired state in which all species coexist competes with multiple states in which some species are gone extinct. In this setting, we…

Adaptation and Self-Organizing Systems · Physics 2025-07-09 Lukas Halekotte , Anna Vanselow , Ulrike Feudel

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

Populations and Evolution · Quantitative Biology 2025-01-09 Ori Turkia , Nadav M. Shnerb

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

Populations and Evolution · Quantitative Biology 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

The stability of ecosystems as well as the relation between topology and dynamics on multilayer networks are important questions that are usually discussed in separate communities. Here, we combine these two topics by investigating the…

Populations and Evolution · Quantitative Biology 2015-07-24 Jonas Richhardt , Sebastian Plitzko , Florian Schwarzmüller , Barbara Drossel

There has been a long-standing and at times fractious debate whether complex and large systems can be stable. In ecology, the so-called `diversity-stability debate' arose because mathematical analyses of ecosystem stability were either…

Dynamical Systems · Mathematics 2015-09-02 Paul Kirk , Delphine M. Y. Rolando , Adam L. MacLean , Michael P. H. Stumpf

Individuals within any species exhibit differences in size, developmental state, or spatial location. These differences coupled with environmental fluctuations in demographic rates can have subtle effects on population persistence and…

Populations and Evolution · Quantitative Biology 2015-12-16 Gregory Roth , Sebastian J. Schreiber

In many natural situations one observes a local system with many competing species which is coupled by weak immigration to a regional species pool. The dynamics of such a system is dominated by its stable and uninvadable (SU) states. When…

Populations and Evolution · Quantitative Biology 2017-07-26 Yael Fried , Nadav M. Shnerb , David A. Kessler

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

Understanding the mechanisms that govern species coexistence and biodiversity represents a fundamental challenge in ecology. This study extends the classic rock-paper-scissors model by introducing a context-dependent higher-order…

Populations and Evolution · Quantitative Biology 2026-03-03 Chunpeng Du , Haoshu Wang , Yikang Lu , Lijuan Qin , Junpyo Park

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…

General Finance · Quantitative Finance 2015-03-13 Leonardo Ermann , Dima L. Shepelyansky

In most professional sports, the structure of the environment is kept neutral so that scoring imbalances may be attributed to differences in team skill. It thus remains unknown what impact structural heterogeneities can have on scoring…

Physics and Society · Physics 2013-11-04 Sears Merritt , Aaron Clauset

Socio-diversity, the variety of human opinions, ideas, behaviors and styles, has profound implications for social systems. While it fuels innovation, productivity, and collective intelligence, it can also complicate communication and erode…

Physics and Society · Physics 2024-02-19 Andrea Musso , Dirk Helbing

Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model of mutualism involving two populations, assuming that…

Populations and Evolution · Quantitative Biology 2026-02-26 Chloë Mian , Sylvain Billiard , Violaine Llaurens , Charline Smadi

Persistent economic competition is often justified as a mechanism of innovation, efficiency, and welfare maximization. Yet empirical evidence across disciplines reveals that competition systematically generates fragility, inequality, and…

Theoretical Economics · Economics 2025-06-16 Marcelo S. Tedesco , Gonzalo Marquez