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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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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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Towards a mathematical understanding of invasion resistance in multispecies communities
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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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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Journal of Physics: Complexity, 2023 The tragedy of the commons (TOCs) is a ubiquitous social dilemma witnessed in interactions between a population of living entities and shared resources available to them: the individuals in the population tend to selfishly overexploit a common resource ...
Joy Das Bairagya +3 more
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The κ-Deformed Calogero–Leyvraz Lagrangians and Applications to Integrable Dynamical Systems
Entropy, 2022 The Calogero–Leyvraz Lagrangian framework, associated with the dynamics of a charged particle moving in a plane under the combined influence of a magnetic field as well as a frictional force, proposed by Calogero and Leyvraz, has some special features ...
Partha Guha
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The replicator dynamics of generalized Nash games
Mathematics in Applied Sciences and Engineering, 2021 Generalized Nash Games are a powerful modelling tool, first introduced in the 1950's. They have seen some important developments in the past two decades.
Jason Lequyer, Monica-Gabriela Cojocaru
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Mathematics, 2022 Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore, it is reasonable to expect that mutation rates will evolve downwards.
Brian Mintz, Feng Fu
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