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We model evolution of plants in a world, made up of different locations, with multiple environments (mutually exclusive and collectively exhaustive subsets of locations). Each environment (landmass) has temperature, rainfall, and other…

种群与进化 · 定量生物学 2019-05-27 Alexander , Khazatsky , Albert Yu , Zihao Zhao , Gabe Zuckerman

The serious games between humans and AI have only just begun. Evolutionary Game Theory (EGT) models the competitive and cooperative strategies of biological entities. EGT could help predict the potential evolutionary equilibrium of humans…

人工智能 · 计算机科学 2025-05-23 Nandini Doreswamy , Louise Horstmanshof

We introduce and analyze several aspects of a new model for cell differentiation. It assumes that differentiation of progenitor cells is a continuous process. From the mathematical point of view, it is based on partial differential…

偏微分方程分析 · 数学 2013-01-21 Marie Doumic , Anna Marciniak-Czochra , Benoit Perthame , Jorge P. Zubelli

The evolution model with parallel mutation-selection scheme is solved for the case when selection is accompanied by base substitutions, insertions, and deletions. The fitness is assumed to be either a single-peak function (i.e., having one…

种群与进化 · 定量生物学 2015-05-13 D. B. Saakian

The vast majority of multi-cellular organisms are anisogamous, meaning that male and female sex cells differ in size. It remains an open question how this asymmetric state evolved, presumably from the symmetric isogamous state where all…

种群与进化 · 定量生物学 2021-12-20 Joseph D. Johnson , Nathan L. White , Alain Kangabire , Daniel M. Abrams

It is suggested that life originated in a three-step process referred to as the jigsaw model. RNA, proteins, or similar organic molecules polymerized in a dehydrated carbon-rich environment, on surfaces in a carbon-rich environment, or in…

适应与自组织系统 · 物理学 2015-06-26 John F. Mcgowan

Evolutionary game theory has been widely used to study the evolution of cooperation in social dilemmas where imitation-led strategy updates are typically assumed. However, results of recent behavioral experiments are not compatible with the…

物理与社会 · 物理学 2018-12-19 Ik Soo Lim , Peter Wittek

For nearly three decades, spatial games have produced a wealth of insights to the study of behavior and its relation to population structure. However, as different rules and factors are added or altered, the dynamics of spatial models often…

计算机科学与博弈论 · 计算机科学 2021-09-30 Jakob Stenseke

While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world systems are predominantly hierarchical. We demonstrate and extend a mechanism for hierarchy; systems with similar agents approach perfect hierarchy in…

种群与进化 · 定量生物学 2024-02-12 Christopher Cebra , Alexander Strang

We investigate the evolution of quiescence within the framework of Adaptive Dynamics for an SIQS (Susceptible - Infected - Quiescent) model with constant environment. In the first part of the paper, the competition of two strains which have…

种群与进化 · 定量生物学 2025-07-14 Leonard Braun , Noah Risse , Aurélien Tellier , Johannes Müller

Complex networks serve as abstract models for understanding real-world complex systems and provide frameworks for studying structured dynamical systems. This article addresses limitations in current studies on the exploration of individual…

社会与信息网络 · 计算机科学 2025-10-14 Bin Pi , Liang-Jian Deng , Minyu Feng , Matjaž Perc , Jürgen Kurths

Models in evolutionary game theory traditionally assume symmetric interactions in homogeneous environments. Here, we consider populations evolving in a heterogeneous environment, which consists of patches of different qualities that are…

种群与进化 · 定量生物学 2018-12-11 Christoph Hauert , Camille Saade , Alex McAvoy

Cellular automata are computers, similar to Turing machines. The main difference is that Turing machines use a one-dimensional tape, whereas cellular automata use a two-dimensional grid. The best-known cellular automaton is the Game of…

元胞自动机与格子气 · 物理学 2025-01-10 Peter Turney

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

计算机科学与博弈论 · 计算机科学 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

生物物理 · 物理学 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette

Evolutionary game theory has become one of the most diverse and far reaching theories in biology. Applications of this theory range from cell dynamics to social evolution. However, many applications make it clear that inherent…

种群与进化 · 定量生物学 2014-04-08 Chaitanya S. Gokhale , Arne Traulsen

Without loss of generalisation to other systems, including possibly non-deterministic ones, we demonstrate the application of methods drawn from algorithmic information dynamics to the characterisation and classification of emergent and…

元胞自动机与格子气 · 物理学 2018-04-09 Hector Zenil , Narsis A. Kiani , Jesper Tegnér

Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of…

适应与自组织系统 · 物理学 2014-03-05 Sanjay Jain , Sandeep Krishna

Environmental and genetic mutations can transform the cells in a co-operating healthy tissue into an ecosystem of individualistic tumour cells that compete for space and resources. Various selection forces are responsible for driving the…

组织与器官 · 定量生物学 2008-10-28 David Basanta , Andreas Deutsch

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

生物物理 · 物理学 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón