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How does social network structure amplify or stifle behavior diffusion? Existing theory suggests that when social reinforcement makes the adoption of behavior more likely, it should spread more -- both farther and faster -- on clustered…

Social and Information Networks · Computer Science 2025-07-11 Allison Wan , Christoph Riedl , David Lazer

Does an ecological community allow stable coexistence? Identifying the general principles that determine the answer to this question is a central problem of theoretical ecology. Random matrix theory approaches have uncovered the general…

Populations and Evolution · Quantitative Biology 2025-12-12 Yu Meng , Szabolcs Horvát , Carl D. Modes , Pierre A. Haas

Coexistence of individuals with different species or phenotypes is often found in nature in spite of competition between them. Stable coexistence of multiple types of individuals have implications for maintenance of ecological biodiversity…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

Forty years ago, Robert May questioned a central belief in ecology by proving that sufficiently large or complex ecological networks have probability of persisting close to zero. To prove this point, he analyzed large networks in which…

Populations and Evolution · Quantitative Biology 2015-05-28 Stefano Allesina , Si Tang

Rapidly mutating pathogens may be able to persist in the population and reach an endemic equilibrium by escaping hosts' acquired immunity. For such diseases, multiple biological, environmental and population-level mechanisms determine the…

Physics and Society · Physics 2019-02-07 Alberto Aleta , Andreia N. S. Hisi , Sandro Meloni , Chiara Poletto , Vittoria Colizza , Yamir Moreno

We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed points, persistent dynamics (e.g., limit cycles or chaos) have also been observed, both in…

Adaptation and Self-Organizing Systems · Physics 2025-09-10 Robin Delabays , Philippe Jacquod

We use a generalised version of the individual-based Tangled Nature model of evolutionary ecology to study the relationship between ecosystem structure and evolutionary history. Our evolved model ecosystems typically exhibit interaction…

Populations and Evolution · Quantitative Biology 2007-05-23 Simon Laird , Henrik Jeldtoft Jensen

Mutualistic networks provide a powerful way to describe and analyse plant-pollinator communities and their structure over time. While these networks capture the complex interdependencies that link population fates across the season, they…

Physics and Society · Physics 2026-04-09 Tom Clegg , Thilo Gross

Anthropogenic activity threatens biodiversity through climate change, habitat fragmentation, and increasing frequency and scale of disturbance. Various theoretical studies have sought to shed light on how these factors could promote or…

Populations and Evolution · Quantitative Biology 2026-04-01 Isaac Planas-Sitjà , Ryosuke Iritani , Adam L. Cronin

We investigate the impact of Allee effect and dispersal on the long-term evolution of a population in a patchy environment, focusing on whether a population already established in one patch either successfully invades an adjacent empty…

Classical Analysis and ODEs · Mathematics 2010-03-02 Yun Kang , Nicolas Lanchier

We analyse the stability of linear dynamical systems defined on sparse, random graphs with predator-prey, competitive, and mutualistic interactions. These systems are aimed at modelling the stability of fixed points in large systems defined…

Statistical Mechanics · Physics 2025-01-30 Andrea Marcello Mambuca , Chiara Cammarota , Izaak Neri

In natural ecosystems, species can be characterized by the nonlinear density-dependent self-regulation of their growth profile. Species of many taxa show a substantial density-dependent reduction for low population size. Nevertheless, many…

Populations and Evolution · Quantitative Biology 2025-06-26 Amit Samadder , Arnab Chattopadhyay , Anurag Sau , Sabyasachi Bhattacharya

In the present work, we explore the influence of habitat complexity on the activities of prey and predator of a spatio-temporal system by incorporating self diffusion. First we modify the Rosenzweig-MacArthur predator-prey model by…

Pattern Formation and Solitons · Physics 2020-10-30 Debaldev Jana , Saikat Batabyal , M. Lakshmanan

The complexity of an ecological community can be distilled into a network, where diverse interactions connect species in a web of dependencies. Species interact not only with each other but indirectly through environmental effects, however…

Populations and Evolution · Quantitative Biology 2020-09-09 Justin D. Yeakel , Mathias M. Pires , Marcus A. M. de Aguiar , James L. O'Donnell , Paulo R. Guimarães , Dominique Gravel , Thilo Gross

Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate of spatially extended natural populations. We propose new…

Probability · Mathematics 2012-10-18 Vincent Bansaye , Amaury Lambert

Mutualistic networks have been shown to involve complex patterns of interactions among animal and plant species. The architecture of these webs seems to pervade some of their robust and fragile behaviour. Recent work indicates that there is…

Populations and Evolution · Quantitative Biology 2016-12-07 Sergi Valverde , Jose Montoya , Lucas Joppa , Ricard Sole

In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution within the prey population is the result of interplay…

Populations and Evolution · Quantitative Biology 2019-03-27 József Z. Farkas , A. Yu. Morozov

Habitat fragmentation, often driven by human activities, alters ecological landscapes by disrupting connectivity and reshaping species interactions. In such fragmented environments, habitats can be modeled as networks, where individuals…

Populations and Evolution · Quantitative Biology 2025-11-07 James Austin Orgeron , Malbor Asllani