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Random matrix theory successfully connects the structure of interactions of large ecological communities to their ability to respond to perturbations. One of the most debated aspects of this approach is the missing role of population…

Populations and Evolution · Quantitative Biology 2018-09-12 Theo Gibbs , Jacopo Grilli , Tim Rogers , Stefano Allesina

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

In Evolutionary Dynamics the understanding of cooperative phenomena in natural and social systems has been the subject of intense research during decades. We focus attention here on the so-called "Lattice Reciprocity" mechanisms that…

Physics and Society · Physics 2009-11-13 L. M. Floria , C. Gracia-Lazaro , J. Gomez-Gardenes , Y. Moreno

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

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

Biological Physics · Physics 2007-05-23 Karo Michaelian

We demonstrate diversification rather than optimisation for highly interacting organisms in a well mixed biological system by means of a simple model and reference to experiment, and find the cause to be the complex network of interactions…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen , Kunihiko Kaneko

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

Mutualistic interactions, which are beneficial for both interacting species, are recurrently present in ecosystems. Observations of natural systems showed that, if we draw mutualistic relationships as binary links between species, the…

Physics and Society · Physics 2019-08-21 Clàudia Payrató Borrás , Laura Hernández , Yamir Moreno

In a diverse population, where many species are present, competitors can fight for surviving at individual and collective levels. In particular, species, which would beat each other individually, may form a specific alliance that ensures…

Populations and Evolution · Quantitative Biology 2023-01-03 Junpyo Park , Xiaojie Chen , Attila Szolnoki

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · Physics 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

The evolution of cooperation in networked systems helps to understand the dynamics in social networks, multi-agent systems, and biological species. The self-persistence of individual strategies is common in real-world decision making. The…

Social and Information Networks · Computer Science 2025-11-25 Ziyan Zeng , Minyu Feng , Attila Szolnoki

Multispecies ecosystems modelled by generalized Lotka-Volterra equations exhibit stationary population abundances, where large number of species often coexist. Understanding the precise conditions under which this is at all feasible and…

Populations and Evolution · Quantitative Biology 2026-05-19 Philippe Jacquod

Reaction-diffusion systems with a Lotka-Volterra-type reaction term, also known as competition-diffusion systems, have been used to investigate the dynamics of the competition among $m$ ecological species for a limited resource necessary to…

Populations and Evolution · Quantitative Biology 2018-11-01 Lorenzo Contento , Danielle Hilhorst , Masayasu Mimura

The study of ecological systems is gaining momentum in modern scientific research, driven by an abundance of empirical data and advancements in bioengineering techniques. However, a full understanding of their dynamical and thermodynamical…

Populations and Evolution · Quantitative Biology 2025-03-05 Ada Altieri

Recent research has identified interactions between networks as crucial for the outcome of evolutionary games taking place on them. While the consensus is that interdependence does promote cooperation by means of organizational complexity…

Physics and Society · Physics 2013-08-23 Zhen Wang , Attila Szolnoki , Matjaz Perc

We study a six-species Lotka-Volterra type system on different two-dimensional lattices when each species has two superior and two inferior partners. The invasion rates from predator sites to a randomly chosen neighboring prey's site depend…

Statistical Mechanics · Physics 2015-11-26 Matjaz Perc , Attila Szolnoki , Gyorgy Szabo

We investigate the Generalized Lotka-Volterra (GLV) equations, a central model in theoretical ecology, where species interactions are assumed to be fixed over time and heterogeneous (quenched noise). Recent studies have suggested that the…

Populations and Evolution · Quantitative Biology 2023-06-26 Sandro Azaele , Amos Maritan

An analytic theory of species abundance patterns (SAPs) in biological networks is presented. The theory is based on multispecies replicator dynamics equivalent to the Lotka-Volterra equation, with diverse interspecies interactions. Various…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Kei Tokita

Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical distributions in time of the sizes of groups of biological…

Populations and Evolution · Quantitative Biology 2023-11-15 Giuseppe Toscani , Mattia Zanella
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