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Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investigate the steady-state properties of a one-dimensional…

Statistical Mechanics · Physics 2026-01-16 Swastik Majumder , Mustansir Barma

Involution, a phenomenon of excessive competition with diminishing returns, has become a pressing socio-economic concern in contemporary China, prompting both academic inquiry and policy interventions. This paper proposes an evolutionary…

Physics and Society · Physics 2026-03-16 Bo Li , Qiwen Ge , Yong Shi

The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic network whose cycles represent coexisting species. The…

Dynamical Systems · Mathematics 2024-01-17 Sofia B. S. D. Castro , Ana M. J. Ferreira , Isabel S. Labouriau

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

We study numerically domain growth and interface fluctuations in one- and two-dimensional lattice systems composed of four species that interact in a cyclic way. Particle mobility is implemented through exchanges of particles located on…

Statistical Mechanics · Physics 2015-06-05 Ahmed Roman , David Konrad , Michel Pleimling

This study investigates the influence of lattice structure in evolutionary games. The snowdrift games is considered in networks with high clustering coefficients, that use four different strategy-updating. Analytical conjectures using pair…

Populations and Evolution · Quantitative Biology 2021-11-05 Satoru Morita

We use immobility as an origin and reference for the measurement of locomotor behavior; speed, the direction of walking and the direction of facing as the three degrees of freedom shaping fly locomotor behavior, and cocaine as the parameter…

Neurons and Cognition · Quantitative Biology 2015-07-28 A. Gomez-Marin , E. Oron , A. Gakamsky , D. Valente , Y. Benjamini , I. Golani

In a two-person Rock-Paper-Scissors (RPS) game, if we set a loss worth nothing and a tie worth 1, and the payoff of winning (the incentive a) as a variable, this game is called as generalized RPS game. The generalized RPS game is a…

Physics and Society · Physics 2014-07-07 Zhijian Wang , Bin Xu

The effects of an unconditional move rule in the spatial Prisoner's Dilemma, Snowdrift and Stag Hunt games are studied. Spatial structure by itself is known to modify the outcome of many games when compared with a randomly mixed population,…

Populations and Evolution · Quantitative Biology 2009-02-25 Estrella A. Sicardi , Hugo Fort , Mendeli H. Vainstein , Jeferson J. Arenzon

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

Human-generated randomness is constrained by cognitive, motor, and strategic biases. This study examines how these constraints appear in individual behavior and how they may be modified through interaction with another human. We analyzed…

Physics and Society · Physics 2026-05-20 Song-Ju Kim , Shoma Ohara , Hiroaki Kurokawa

Driven by access to large volumes of movement data, the study of human mobility has grown rapidly over the past decades. The field has shown that human mobility is scale-free, proposed models to generate scale-free moving distance…

Physics and Society · Physics 2025-07-17 Louis Boucherie , Benjamin F. Maier , Sune Lehmann

The prototype of a cyclic dominant system is the so-called rock-scissors-paper game, but similar relation among competing strategies can be identified in several other models of evolutionary game theory. In this work we assume that a…

Physics and Society · Physics 2020-06-11 Attila Szolnoki , Xiaojie Chen

Species sharing a habitat will co-evolve to make use of the available resources, as consumption is modulated by competition and negative feedback loops between consumers and resources. The dietary range of a given species determines the…

Populations and Evolution · Quantitative Biology 2026-05-28 Elliot M. Butterworth , Tim Rogers

A cyclically dominating three-species ecosystem, modeled within the framework of rock-paper-scissor game, is studied in presence of natural death and an effect of the environment. The environmental impact is parameterized along with the…

Statistical Mechanics · Physics 2024-03-11 Sirshendu Bhattacharyya

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of vision. We assume that agents preferentially interact with neighbours, depending on their relative location, through velocity…

Statistical Mechanics · Physics 2024-06-11 Shakti N. Menon , Trilochan Bagarti , Abhijit Chakraborty

The diversity in wealth and social status is present not only among humans, but throughout the animal world. We account for this observation by generating random variables that determ ine the social diversity of players engaging in the…

Physics and Society · Physics 2008-03-29 Matjaz Perc , Attila Szolnoki

Species extinction is a core process that affects the diversity of life on Earth. Competition between species in a population is considered by ecological niche-based theories as a key factor leading to different severity of species…

Populations and Evolution · Quantitative Biology 2020-07-28 Ivan Sudakov , Sergey A. Vakulenko , John T. Bruun

We investigate a six-species class of May-Leonard models leading to formation two types of competing spatial domains, each one inhabited by three-species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting…

Adaptation and Self-Organizing Systems · Physics 2019-08-07 P. P. Avelino , J. Menezes , B. F. de Oliveira , T. A. Pereira