Results 21 to 30 of about 1,723 (252)
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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On a Notion of Linear Replicator Equations [PDF]
Journal of Dynamics and Differential Equations, 2005 The authors show that replicator equations follow from the exponential affine structure of the simplex known from information geometry. It is then natural to call replicator equations linear if their fitness function is affine. For such linear replicator equations, an explicit solution can be found. The approach is demonstrated for the example of Eigen'
Ay, Nihat, Erb, Ionas
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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 Schwarzian equation for completely replicable functions [PDF]
LMS Journal of Computation and Mathematics, 2017 We describe the Schwarzian equations for the 328 completely replicable functions with integral$q$-coefficients [Fordet al., ‘More on replicable functions’,Comm. Algebra22 (1994) no. 13, 5175–5193].
Abdelkrim El Basraoui, John McKay 0001
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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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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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