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Evolutionary Branching via Replicator–Mutator Equations [PDF]
Journal of Dynamics and Differential Equations, 2018 24 pages, 7 ...
Alfaro, Matthieu, Veruete, Mario
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Life-History traits and the replicator equation
Mathematical Biosciences, 2022 Due to the relevance for conservation biology, there is an increasing interest to extend evolutionary genomics models to plant, animal or microbial species. However, this requires to understand the effect of life-history traits absent in humans on genomic evolution. In this context, it is fundamentally of interest to generalize the replicator equation,
Müller, J., Tellier, A.
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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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Replicator-mutator equations with quadratic fitness [PDF]
Proceedings of the American Mathematical Society, 2017 Comment: 12 ...
Alfaro, Matthieu, Carles, Rémi
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Abstract and Applied Analysis, 2015 Assume that economic activities are conducted in a bounded continuous domain where workers move toward regions that offer higher real wages and away from regions that offer below-average real wages.
Minoru Tabata, Nobuoki Eshima
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Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context
Games, 2021 Multi-Agent Systems (MAS) have been used to solve several optimization problems in control systems. MAS allow understanding the interactions between agents and the complexity of the system, thus generating functional models that are closer to reality ...
Gustavo Chica-Pedraza +2 more
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Age structure, replicator equation, and the prisoner’s dilemma
Mathematical Biosciences, 2023 We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We can disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure
Sona John, Johannes Müller
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