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We introduce an individual-based model of a complex ecological community with random interactions. The model contains a large number of species, each with a finite population of individuals, subject to discrete reproduction and death…

Populations and Evolution · Quantitative Biology 2023-07-19 Ferran Larroya , Tobias Galla

For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance properties of a widely explored synthetic food web called the…

Populations and Evolution · Quantitative Biology 2024-10-16 Sepideh Vafaie , Deepak Bal , Michael A. S. Thorne , Eric Forgoston

The maintenance of diversity, the `commonness of rarity', and compositional turnover are ubiquitous features of species-rich communities. Through a minimal model, we consider how these features reflect the interplay between environmental…

Populations and Evolution · Quantitative Biology 2025-12-04 Emil Mallmin , Arne Traulsen , Silvia De Monte

Higher-order interactions are increasingly recognized as a key component of ecological dynamics. However, we show that higher-order Lotka-Volterra dynamics can, in some scenarios, be accurately reproduced by effective pairwise models fitted…

Populations and Evolution · Quantitative Biology 2026-05-08 Violeta Calleja-Solanas , Santiago Lamata-Otín , Carlos Gómez-Ambrosi , Jesús Gómez-Gardeñes , Sandro Meloni

In complex ecological communities, species may self-organize into clusters or clumps where highly similar species can coexist. The emergence of such species clusters can be captured by the interplay between neutral and niche theories. Based…

Statistical Mechanics · Physics 2026-04-16 Shing Yan Li , Mehran Kardar , Zhijie Feng , Washington Taylor

Relations among species in ecosystems can be represented by complex networks where both negative (competition) and positive (mutualism) interactions are concurrently present. Recently, it has been shown that many ecosystems can be cast into…

Physics and Society · Physics 2017-03-20 Carlos Gracia-Lázaro , Laura Hernández , Javier Borge-Holthoefer , Yamir Moreno

The significant role of space in maintaining species coexistence and determining community structure and function is well established. However, community ecology studies have mainly focused on simple competition and predation systems, and…

Populations and Evolution · Quantitative Biology 2010-08-09 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

We compute the typical number of equilibria of the Generalized Lotka-Volterra equations describing species-rich ecosystems with random, non-reciprocal interactions using the replicated Kac-Rice method. We characterize the…

Disordered Systems and Neural Networks · Physics 2023-06-27 Valentina Ros , Felix Roy , Giulio Biroli , Guy Bunin , Ari M. Turner

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

Populations and Evolution · Quantitative Biology 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

It is well-known that interactions between species determine the population composition in an ecosystem. Conventional studies have focused on fixed population structures to reveal how interactions shape population compositions. However,…

Populations and Evolution · Quantitative Biology 2023-06-28 Youngjai Park , Takashi Shimada , Seung-Woo Son , Hye Jin Park

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

The dynamics of ecological as well as chemical systems may depend on heterogeneous configurations. Heterogeneity in reaction-diffusion systems often increase modelling and simulating difficulties when non-linear effects are present. One…

Physics and Society · Physics 2019-08-27 Orlando Silva

In this work, we explore the dynamics of species abundances within ecological communities using the Generalized Lotka-Volterra (GLV) model. At variance with previous approaches, we present an analysis of stochastic GLV dynamics with…

Populations and Evolution · Quantitative Biology 2024-04-24 Samir Suweis , Francesco Ferraro , Christian Grilletta , Sandro Azaele , Amos Maritan

Ecosystems with a large number of species are often modelled as Lotka-Volterra dynamical systems built around a large random interaction matrix. Under some known conditions, a global equilibrium exists and is unique. In this article, we…

Populations and Evolution · Quantitative Biology 2023-08-01 Imane Akjouj , Walid Hachem , Mylène Maïda , Jamal Najim

With limited resources, competition is widespread, yet cooperation persists across taxa, from microorganisms to large mammals. Recent observations reveal contingent factors often drive cooperative interactions, with the intensity…

Populations and Evolution · Quantitative Biology 2025-01-29 Suvranil Chowdhury , Susmita Sarkar , Joydev Chattopadhyay

In this monograph, we introduce a new model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. The interactions among these populations are described not in terms of…

Analysis of PDEs · Mathematics 2024-07-30 Elisa Affili , Serena Dipierro , Luca Rossi , Enrico Valdinoci

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

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

We used a metacommunity of 49 discrete communities of aquatic invertebrates to analyze the dynamical relationship between community and metacommunity species distributions as a test of the neutral theory of biodiversity and biogeography. At…

Populations and Evolution · Quantitative Biology 2007-05-23 Michael M. Fuller , Tamara N. Romanuk , Jurek Kolasa