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Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

Populations and Evolution · Quantitative Biology 2016-05-04 Alex McAvoy , Christoph Hauert

Cyclic, nonhierarchical interactions among biological species represent a general mechanism by which ecosystems are able to maintain high levels of biodiversity. However, species coexistence is often possible only in spatially extended…

Populations and Evolution · Quantitative Biology 2015-03-17 Daniel Groselj , Frank Jenko , Erwin Frey

Diffusion plays an important role in a wide variety of phenomena, from bacterial quorum sensing to the dynamics of traffic flow. While it generally tends to level out gradients and inhomogeneities, diffusion has nonetheless been shown to…

Pattern Formation and Solitons · Physics 2024-07-03 Alexandre Champagne-Ruel , Sascha Zakaib-Bernier , Paul Charbonneau

Traditionally, resource limitation in evolutionary game theory is assumed just to impose a constant population size. Here we show that resource limitations may generate dynamical payoffs able to alter an original prisoner's dilemma, and to…

Populations and Evolution · Quantitative Biology 2012-10-26 Rubén J. Requejo , Juan Camacho

Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they are capable of self-propulsion. Among these, a significant class execute so-called run-and-tumble motion: they follow a fairly straight path for…

Statistical Mechanics · Physics 2012-09-06 M. E. Cates

In many social mammals, early life social adversity and social integration largely predict individual health, lifespan and reproductive success. Efforts in identifying the physiological mechanisms mediating the relationship between the…

Populations and Evolution · Quantitative Biology 2022-01-25 Alice Baniel , Marie J. E. Charpentier

In this work we study the interplay between the dynamics of a model of diffusion governed by a mechanism of imitation and its underlying structure. The dynamics of the model can be quantified by a macroscopic observable which permits the…

Statistical Mechanics · Physics 2009-11-10 Mateu Llas , Pablo M. Gleiser , Albert Diaz-Guilera , Conrad J. Perez

Microbes produce metabolic resources that are important for cell growth yet leak across membranes into the extracellular environment. Other microbes in the same environment can use these resources and adjust their own metabolic production…

Populations and Evolution · Quantitative Biology 2018-01-16 Yoav Kallus , John H. Miller , Eric Libby

This work lies in the fusion of experimental economics and data mining. It continues author's previous work on mining behaviour rules of human subjects from experimental data, where game-theoretic predictions partially fail to work.…

Computer Science and Game Theory · Computer Science 2012-11-13 Rustam Tagiew

We introduce a mathematical model that combines the concepts of complex contagion with payoff-biased imitation, to describe how social behaviors spread through a population. Traditional models of social learning by imitation are based on…

Physics and Society · Physics 2025-01-13 Hiroaki Chiba-Okabe , Joshua B. Plotkin

Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We present a consistent derivation of reaction-diffusion equations…

Analysis of PDEs · Mathematics 2026-02-23 Marzia Bisi , Davide Cusseddu , Ana Jacinta Soares , Romina Travaglini

How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though…

Populations and Evolution · Quantitative Biology 2020-07-08 Tapas Singha , Prasad Perlekar , Mustansir Barma

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

Statistical Mechanics · Physics 2026-03-24 Valentin Anfray , Hong-Yan Shih

A mutualist model with nonlocal diffusions and a free boundary is first considered. We prove that this problem has a unique solution defined $t\ge0$, and its dynamics are governed by a spreading-vanishing dichotomy. Some criteria for…

Analysis of PDEs · Mathematics 2021-10-28 Lei Li , Mingxin Wang

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

Physics and Society · Physics 2016-04-20 Gyorgy Szabo , Istvan Borsos

One of the central questions of metacommunity theory is how dispersal of organisms affects species diversity. Here we show that the diversity-dispersal relationship should not be studied in isolation of other abiotic and biotic flows in the…

Populations and Evolution · Quantitative Biology 2014-02-12 Bart Haegeman , Michel Loreau

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

In this paper we discuss the diffusion of serious games and present reasons for why Rogers traditional approach is limited in this context. We present an alternative overview through the characteristics of relative advantage, compatibility,…

General Economics · Economics 2024-08-26 Katerina Antonopoulou , Nicholas Dacre

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