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Evolution occurs in populations of reproducing individuals. It is well known that population structure can affect evolutionary dynamics. Traditionally, natural selection is studied between mutants that differ in reproductive rate, but are…

种群与进化 · 定量生物学 2021-11-23 Josef Tkadlec , Kamran Kaveh , Krishnendu Chatterjee , Martin A. Nowak

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

概率论 · 数学 2016-06-07 Eric Foxall , Nicolas Lanchier

The emergence and maintenance of cooperative behavior is a fascinating topic in evolutionary biology and social science. The public goods game (PGG) is a paradigm for exploring cooperative behavior. In PGG, the total resulting payoff is…

种群与进化 · 定量生物学 2019-07-15 Yan Li , Xinsheng Liu , Jens Christian Claussen , Wanlin Guo

We study an evolutionary prisoner's dilemma game with two layered graphs, where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy…

物理与社会 · 物理学 2009-11-13 Zhi-Xi Wu , Ying-Hai Wang

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

最优化与控制 · 数学 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental elements and the interaction between species is read into the…

偏微分方程分析 · 数学 2021-03-08 Elisa Affili

Quantifying population dynamics is a fundamental challenge in ecology and evolutionary biology, particularly for species that are cryptic, microscopic, or extinct. Traditional approaches rely on continuous representations of population…

种群与进化 · 定量生物学 2025-02-18 Justin D. Yeakel

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

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…

种群与进化 · 定量生物学 2022-11-14 Luciano Stucchi , Javier Galeano , Juan Manuel Pastor , José María Iriondo , José A. Cuesta

The commonly used accumulated payoff scheme is not invariant with respect to shifts of payoff values when applied locally in degree-inhomogeneous population structures. We propose a suitably modified payoff scheme and we show both formally…

物理与社会 · 物理学 2010-11-24 Leslie Luthi , Marco Tomassini , Enea Pestelacci

The conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a…

物理与社会 · 物理学 2021-06-09 Attila Szolnoki , Xiaojie Chen

We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

适应与自组织系统 · 物理学 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

In this paper we extend the framework of evolutionary inspection game put forward recently by the author and coworkers to a large class of conflict interactions dealing with the pressure executed by the major player (or principal) on the…

最优化与控制 · 数学 2022-05-03 Vassili Kolokoltsov

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

概率论 · 数学 2020-12-29 Lea Popovic , Liam Peuckert

In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

物理与社会 · 物理学 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

Introducing strategy complexity into the basic conflict of cooperation and defection is a natural response to avoid the tragedy of the common state. As an intermediate approach, quasi-cooperators were recently suggested to address the…

物理与社会 · 物理学 2024-04-24 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

计算机科学与博弈论 · 计算机科学 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

Biodiversity widely observed in ecological systems is attributed to the dynamical balance among the competing species. The time-varying populations of the interacting species are often captured rather well by a set of deterministic…

种群与进化 · 定量生物学 2010-05-25 Yen-Chih Lin , Tzay-Ming Hong , Hsiu-Hau Lin

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…

种群与进化 · 定量生物学 2016-05-04 Alex McAvoy , Christoph Hauert

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

种群与进化 · 定量生物学 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia