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Related papers: Food web assembly rules

200 papers

Reaction-diffusion systems may lead to the formation of steady state heterogeneous spatial patterns, known as Turing patterns. Their mathematical formulation is important for the study of pattern formation in general and play central roles…

Pattern Formation and Solitons · Physics 2015-06-05 Lucas D. Fernandes , Marcus A. M. Aguiar

We study communities emerging from generalised random Lotka--Volterra dynamics with a large number of species with interactions determined by the degree of niche overlap. Each species is endowed with a number of traits, and competition…

Populations and Evolution · Quantitative Biology 2023-11-30 Enrique Rozas Garcia , Mark J. Crumpton , Tobias Galla

Lotka-Volterra (LV) equations play a key role in the mathematical modeling of various ecological, biological and chemical systems. When the number of species (or, depending on the viewpoint, chemical components) becomes large, basic but…

Probability · Mathematics 2022-05-03 Maxime Clenet , François Massol , Jamal Najim

The Lotka-Volterra model reflects real ecological interactions where species compete for limited resources, potentially leading to coexistence, dominance of one species, or extinction of another. Comprehending the mechanisms governing these…

Analysis of PDEs · Mathematics 2024-10-01 Maicon Sonego , Enrique Zuazua

Coexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey…

Populations and Evolution · Quantitative Biology 2009-01-30 Maximilian Berr , Tobias Reichenbach , Martin Schottenloher , Erwin Frey

What determines biodiversity in nature is a prominent issue in ecology, especially in biotic resource systems that are typically devoid of cross-feeding. Here, we show that by incorporating pairwise encounters among consumer individuals…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

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

Ecological networks such as plant-pollinator systems and food webs vary in space and time. This variability includes fluctuations in global network properties such as total number and intensity of interactions but also in the local…

Quantitative Methods · Quantitative Biology 2022-12-23 Tancredi Caruso , Giulio Virginio Clemente , Matthias C Rillig , Diego Garlaschelli

Quantifying interaction strength between species is of interest in food web studies for understanding population dynamics. Theory has run ahead of experiment in solving equations describing ecological systems (the Lotka-Volterra equations,…

Populations and Evolution · Quantitative Biology 2013-05-07 Joshua M. Courtney , Amy C. Courtney , Michael W. Courtney

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

Analysis of PDEs · Mathematics 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

A general system of difference equations is presented for multispecies communities with density dependent population growth and delayed maturity. Interspecific competition, mutualism, predation, commensalism, and amensalism are…

Populations and Evolution · Quantitative Biology 2025-09-03 Geoffrey R. Hosack , Maud El-Hachem , Nicholas J. Beeton

Species sharing a habitat will co-evolve to make use of the available resources, as consumption is modulated by competition and negative feedback loops between consumers and resources. The dietary range of a given species determines the…

Populations and Evolution · Quantitative Biology 2026-05-28 Elliot M. Butterworth , Tim Rogers

We study the conditions under which species interaction, as described by continuous versions of the competitive Lotka-Volterra model (namely the nonlocal Kolmogorov-Fisher model, and its differential approximation), can support the…

Pattern Formation and Solitons · Physics 2014-04-02 Pavel V. Paulau , Damia Gomila , Cristobal Lopez , Emilio Hernandez-Garcia

Classical understanding of the outcome of the struggle for existence results in the Darwinian survival of the fittest. Here we show that the situation may be different, more complex and arguably more interesting. Specifically, we show that…

Populations and Evolution · Quantitative Biology 2018-12-10 Georgy Karev , Faina Berezovskaya

We incorporate the generic hierarchical architecture of foodwebs into a "{\it unified}" model that describes both "micro" and "macro" evolutions within a single theoretical framework. This model describes the "micro" -evolution in detail by…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

Cellular actin structures are continuously turned over while keeping similar sizes. Since they all compete for a shared pool of actin monomers, the question arises how they can coexist in these dynamic steady states. Recently, the…

Subcellular Processes · Quantitative Biology 2026-04-27 Valentin Wössner , Falko Ziebert , Ulrich S. Schwarz

We present a numerical analysis of local community assembly through weak migration from a regional species pool. At equilibrium, the local community consists of a subset ("clique") of species from the regional community. Our analysis…

Populations and Evolution · Quantitative Biology 2024-09-04 David A. Kessler , Nadav M. Shnerb

We use food webs generated by a model to investigate the effects of deleting species on other species in the web and on the web as a whole. The model incorporates a realistic population dynamics, adaptive foragers and other features which…

Populations and Evolution · Quantitative Biology 2007-05-23 Christopher Quince , Paul Higgs , Alan McKane

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

We develop a theoretical framework to understand the persistence and coexistence of competitive species in a spatially explicit metacommunity model with a heterogeneous dispersal kernel. Our analysis, based on methods from the physics of…

Populations and Evolution · Quantitative Biology 2025-03-14 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Andrea Rinaldo , Amos Maritan