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Unlike many physical nonequilibrium systems, in biological systems, the coupling to external energy sources is not a fixed parameter but adaptively controlled by the system itself. We do not have theoretical frameworks that allow for such…

Populations and Evolution · Quantitative Biology 2025-06-30 Ankit Dhanuka , Avi I. Flamholz , Arvind Murugan , Akshit Goyal

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

Populations and Evolution · Quantitative Biology 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

Indirect reciprocity maintains cooperation in stranger societies by mapping individual behaviors onto reputation signals via social norms. Existing theoretical frameworks assume static environments with constant resources and fixed payoff…

Physics and Society · Physics 2026-02-04 Yishen Jiang , Xin Wang , Ming Wei , Wenqiang Zhu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

We analyze rate-dependent tipping in a fast/slow system with an equilibrium near the fold of a critical manifiold. We find a Hopf bifurcation as the rate parameter increases in the reduced co-moving system. This implies the growth of a…

Dynamical Systems · Mathematics 2017-04-25 Jonathan Hahn

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed points, persistent dynamics (e.g., limit cycles or chaos) have also been observed, both in…

Adaptation and Self-Organizing Systems · Physics 2025-09-10 Robin Delabays , Philippe Jacquod

Multiple stable states - the coexistence of two or more distinct ecological configurations under identical environmental conditions - have attracted sustained interest in ecology, yet the field still lacks a unified framework connecting…

Populations and Evolution · Quantitative Biology 2026-05-08 Jennifer Paige , Denis D. Patterson , Alan Hastings

This abstract describes the first public demonstration of feedback control and coordination of multiple physical systems over a dynamic multi-hop low-power wireless network with update intervals of tens of milliseconds. Our running system…

Networking and Internet Architecture · Computer Science 2019-06-14 Fabian Mager , Dominik Baumann , Romain Jacob , Lothar Thiele , Sebastian Trimpe , Marco Zimmerling

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

Theoretical Economics · Economics 2021-06-16 George Loginov

Quantifying the stability of an equilibrium is central in the theory of dynamical systems as well as in engineering and control. A comprehensive picture must include the response to both small and large perturbations, leading to the…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 Philipp C. Böttcher , Benjamin Schäfer , Stefan Kettemann , Carsten Agert , Dirk Witthaut

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

Physics and Society · Physics 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

Feedback-evolving games is a framework that models the co-evolution between payoff functions and an environmental state. It serves as a useful tool to analyze many social dilemmas such as natural resource consumption, behaviors in…

Computer Science and Game Theory · Computer Science 2024-08-23 Keith Paarporn , James Nelson

Feedback loops are major components of biochemical systems. Many systems show multiple such (positive or negative) feedback loops. Nevertheless, very few quantitative analyses address the question how such multiple feedback loops evolved.…

Quantitative Methods · Quantitative Biology 2010-03-08 M. Hafner , H. Koeppl , A. Wagner

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

Physics and Society · Physics 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

Adaptation to environmental change is a common property of biological systems. Cells initially respond to external changes in the environment, but after some time, they regain their original state. By considering an element consisting of…

Biological Physics · Physics 2015-05-13 Masayo Inoue , Kunihiko Kaneko

We explore the connection between migration patterns and emergent behaviors of evolving populations in spatially heterogeneous environments. Despite extensive studies in ecologically and medically important systems, a unifying framework…

Populations and Evolution · Quantitative Biology 2024-01-10 Casey O. Barkan , Shenshen Wang

Ecological systems are emergent features of ecological and adaptive dynamics of a community of interacting species. By natural selection through the abiotic environment and by co-adaptation within the community, species evolve, thereby…

Populations and Evolution · Quantitative Biology 2018-07-03 Katharina Brinck , Henrik Jeldtoft Jensen