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The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in ecological processes, but mounting evidence shows that…

Populations and Evolution · Quantitative Biology 2021-07-19 F. Meloni , G. Nakamura , B. Grammaticos , A. S. Martinez , M. Badoual

Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

Direct reciprocity is a powerful mechanism for evolution of cooperation based on repeated interactions between the same individuals. But high levels of cooperation evolve only if the benefit-to-cost ratio exceeds a certain threshold that…

Populations and Evolution · Quantitative Biology 2023-05-31 Josef Tkadlec , Christian Hilbe , Martin A. Nowak

The spatial arrangement of individuals is thought to overcome the dilemma of cooperation: When cooperators engage in clusters they might share the benefit of cooperation while being more protected against non-cooperating individuals, which…

Populations and Evolution · Quantitative Biology 2013-04-18 Anatolij Gelimson , Jonas Cremer , Erwin Frey

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

Evolutionary transitions among ecological interactions are widely known, although their detailed dynamics remain absent for most population models. Adaptive dynamics has been used to illustrate how the parameters of population models might…

Populations and Evolution · Quantitative Biology 2022-11-14 Luciano Stucchi , Javier Galeano , Juan Manuel Pastor , José María Iriondo , José A. Cuesta

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

Cooperative behavior is widespread in nature, even though cooperating individuals always run the risk to be exploited by free-riders. Population structure effectively promotes cooperation given that a threshold in the level of cooperation…

Populations and Evolution · Quantitative Biology 2015-06-16 Anna Melbinger , Jonas Cremer , Erwin Frey

Social dilemmas are an integral part of social interactions. Cooperative actions, ranging from secreting extra-cellular products in microbial populations to donating blood in humans, are costly to the actor and hence create an incentive to…

Populations and Evolution · Quantitative Biology 2016-05-26 Chaitanya S. Gokhale , Christoph Hauert

Spatial structure is one of the simplest and most studied ecological factors that affect the evolution of cooperation. It has been shown that spatial reciprocity promotes cooperation due to the formation of cooperative clusters, which…

Populations and Evolution · Quantitative Biology 2020-06-24 Elton Júnior. S , Marco A. Amaral , Lucas Wardil

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

Cooperation is fundamental to human societies. While several basic theoretical mechanisms underlying its evolution have been established, research addressing more realistic settings remains underdeveloped. Drawing on the hypothesis that…

Physics and Society · Physics 2025-09-01 Masaaki Inaba , Eizo Akiyama

The dynamics of two competing species in a finite size community is one of the most studied problems in population genetics and community ecology. Stochastic fluctuations lead, inevitably, to the extinction of one of the species, but the…

Populations and Evolution · Quantitative Biology 2016-11-30 Matan Danino , David A. Kessler , Nadav M. Shnerb

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

A mutualism is an interaction where the involved species benefit from each other. We study a two-dimensional hexagonal three-state cellular automaton model of a two-species mutualistic system. The simple model is characterized by four…

Cellular Automata and Lattice Gases · Physics 2010-11-23 Andrew Adamatzky , Martin Grube

How diversity is maintained in natural ecosystems is a long-standing question in Theoretical Ecology. By studying a system that combines ecological dynamics, heterogeneous interactions and spatial structure, we uncover a new mechanism for…

Populations and Evolution · Quantitative Biology 2024-03-21 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Spatial reciprocity is a well known tour de force of cooperation promotion. A thorough understanding of the effects of different population densities is therefore crucial. Here we study the evolution of cooperation in social dilemmas on…

Physics and Society · Physics 2012-05-14 Zhen Wang , Attila Szolnoki , Matjaz Perc

Mutualisms are key for structuring ecological communities, but they are sensitive to environmental change and fluctuations in population size. Consequently, how mutualisms achieve stability remains an open question in ecological theory.…

Populations and Evolution · Quantitative Biology 2026-05-08 Matheus Bongestab , David Pinto-Ramos , Ricardo Martinez-Garcia

Most real life systems have a random component: the multitude of endogenous and exogenous factors influencing them result in stochastic fluctuations of the parameters determining their dynamics. These empirical systems are in many cases…

General Finance · Quantitative Finance 2010-01-04 Gur Yaari , Sorin Solomon
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