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The relationship between the dynamics of a community and its constituent pairwise interactions is a fundamental problem in ecology. Higher-order ecological effects beyond pairwise interactions may be key to complex ecosystems, but…

Populations and Evolution · Quantitative Biology 2018-09-05 Michael Manhart , Eugene I. Shakhnovich

Ecosystems tend to fluctuate around stable equilibria in response to internal dynamics and environmental factors. Occasionally, they enter an unstable tipping region and collapse into an alternative stable state. Our understanding of how…

Global, population-wide oscillations in models of cyclic dominance may result in the collapse of biodiversity due to the accidental extinction of one species in the loop. Previous research has shown that such oscillations can emerge if the…

Populations and Evolution · Quantitative Biology 2016-12-14 Attila Szolnoki , Matjaz Perc

Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including spatial structure and stochastic noise in predator-prey…

Statistical Mechanics · Physics 2018-01-09 Ulrich Dobramysl , Mauro Mobilia , Michel Pleimling , Uwe C. Täuber

This research investigates the impact of dynamic, time-varying interactions on cooperative behaviour in social dilemmas. Traditional research has focused on deterministic rules governing pairwise interactions, yet the impact of interaction…

Physics and Society · Physics 2024-08-20 Yujie He , Tianyu Ren , Xiao-Jun Zeng , Huawen Liang , Liukai Yu , Junjun Zheng

Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching parameter in several common evolutionary dynamics models…

Dynamical Systems · Mathematics 2013-06-12 Marc Harper , Dashiell Fryer , Andrew Vlasic

The observation that phenotypic variability is ubiquitous in isogenic populations has led to a multitude of experimental and theoretical studies seeking to probe the causes and consequences of this variability. Whether it be in the context…

Populations and Evolution · Quantitative Biology 2022-02-18 Ethan Levien , Jiseon Min , Jane Kondev , Ariel Amir

A fundamental goal of microbial ecology is to understand what determines the diversity, stability, and structure of microbial ecosystems. The microbial context poses special conceptual challenges because of the strong mutual influences…

Biological Physics · Physics 2019-03-06 Robert Marsland , Wenping Cui , Joshua Goldford , Alvaro Sanchez , Kirill Korolev , Pankaj Mehta

Empirical observations in marine ecosystems have suggested a balance of biological and advection time scales as a possible explanation of species coexistence. To characterise this scenario, we measure the time to fixation in neutrally…

Populations and Evolution · Quantitative Biology 2018-04-09 Tobias Galla , Vicente Pérez-Muñuzuri

We study a parabolic Lotka-Volterra type equation that describes the evolution of a population structured by a phenotypic trait, under the effects of mutations and competition for resources modelled by a nonlocal feedback. The limit of…

Analysis of PDEs · Mathematics 2020-03-13 Manon Costa , Christèle Etchegaray , Sepideh Mirrahimi

Fluctuating environments are situations where the spatio-temporal stochasticity plays a significant role in the evolutionary dynamics. The study of the evolution of cooperation in these environments typically assumes a homogeneous, well…

Populations and Evolution · Quantitative Biology 2024-11-01 Viktor Stojkoski , Marko Karbevski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

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

The competitive exclusion principle asserts that coexisting species must occupy distinct ecological niches (i.e. the number of surviving species can not exceed the number of resources). An open question is to understand if and how different…

Populations and Evolution · Quantitative Biology 2020-07-29 Wenping Cui , Robert Marsland , Pankaj Mehta

Mutualistic communities have an internal structure that makes them resilient to external per- turbations. Late research has focused on their stability and the topology of the relations between the different organisms to explain the reasons…

Populations and Evolution · Quantitative Biology 2014-09-19 Javier Garcia-Algarra , Javier Galeano , Juan Manuel Pastor , Jose Maria Iriondo , Jose J. Ramasco

An ecosystem is a nonlinear dynamical system, its orbits giving rise to the observed complexity in the system. The diverse components of the ecosystem interact in discrete time to give rise to emergent features that determine the trajectory…

Dynamical Systems · Mathematics 2015-07-29 Sudeepto Bhattacharya , L. M. Saha

Competition is the main driver of population dynamics, which shapes the genetic composition of populations and the assembly of ecological communities. Neutral models assume that all the individuals are equivalent and that the dynamics is…

Populations and Evolution · Quantitative Biology 2018-04-11 Matan Danino , Nadav M. Shnerb

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

Dynamical Systems · Mathematics 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

Previous evolutionary studies demonstrated how evaluating evolving agents in variable environmental conditions enable them to develop solutions that are robust to environmental variation. We demonstrate how the robustness of the agents can…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Nicola Milano , Jônata Tyska Carvalho , Stefano Nolfi

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin