Results 11 to 20 of about 1,689 (257)
Replicator equation on networks with degree regular communities [PDF]
Applied Network Science, 2018 The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of ...
Daniele Cassese
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The replicator equation on graphs. [PDF]
J Theor Biol, 2006 We study evolutionary games on graphs. Each player is represented by a vertex of the graph. The edges denote who meets whom. A player can use any one of n strategies. Players obtain a payoff from interaction with all their immediate neighbors. We consider three different update rules, called 'birth-death', 'death-birth' and 'imitation'. A fourth update
Ohtsuki H, Nowak MA.
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Towards a mathematical understanding of invasion resistance in multispecies communities [PDF]
Royal Society Open Science, 2023 Multispecies community composition and dynamics are key to health and disease across biological systems, a prominent example being microbial ecosystems.
Erida Gjini, Sten Madec
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The replicator equation and other game dynamics. [PDF]
Proc Natl Acad Sci U S A, 2014 The replicator equation is the first and most important game dynamics studied in connection with evolutionary game theory. It was originally developed for symmetric games with finitely many strategies. Properties of these dynamics are briefly summarized for this case, including the convergence to and stability of the Nash equilibria and evolutionarily ...
Cressman R, Tao Y.
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Evolutionary Game-Theoretic Approach to the Population Dynamics of Early Replicators [PDF]
LifeThe population dynamics of early replicators has revealed numerous puzzles, highlighting the difficulty of transitioning from simple template-directed replicating molecules to complex biological systems.
Matheus S. Mariano, José F. Fontanari
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Life as a Categorical Information-Handling System: An Evolutionary Information-Theoretic Model of the Holobiont [PDF]
BiologyLiving systems can be understood as organized entities that capture, transform, and reproduce information. Classical gene-centered models explain adaptation through frequency changes driven by differential fitness, yet they often overlook the higher ...
Antonio Carvajal-Rodríguez
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Replicator Equations and Space [PDF]
Mathematical Modelling of Natural Phenomena, 2014 A reaction--diffusion replicator equation is studied. A novel method to apply the principle of global regulation is used to write down the model with explicit spatial structure. Properties of stationary solutions together with their stability are analyzed analytically, and relationships between stability of the rest points of the non-distributed ...
Novozhilov, Artem S. +2 more
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Probabilistic analysis of replicator–mutator equations
Advances in Applied Probability, 2022 AbstractThis paper discusses a general class of replicator–mutator equations on a multidimensional fitness space. We establish a novel probabilistic representation of weak solutions of the equation by using the theory of Fokker–Planck–Kolmogorov (FPK) equations and a martingale extraction approach.
Bo, Lijun, Liao, Huafu
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Mathematics, 2023 Target assignment has been a hot topic of research in the academic and industrial communities for swarms of multiple unmanned aerial vehicle (multi-UAVs).
Yifan Gao +4 more
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The Fundamental Theorem of Natural Selection
Entropy, 2021 Suppose we have n different types of self-replicating entity, with the population Pi of the ith type changing at a rate equal to Pi times the fitness fi of that type. Suppose the fitness fi is any continuous function of all the populations P1,…,Pn.
John C. Baez
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