Results 211 to 220 of about 1,689 (257)

Homophilic replicator equations

Journal of Mathematical Biology, 2016
Tags are conspicuous attributes of organisms that affect the behaviour of other organisms toward the holder, and have previously been used to explore group formation and altruism. Homophilic imitation, a form of tag-based selection, occurs when organisms imitate those with similar tags.
Morsky, Bryce, Cressman, Ross, Bauch, C. T.   +2 more
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Immune networks modeled by replicator equations

Journal of Mathematical Biology, 1994
In order to evaluate the role of idiotypic networks in the operation of the immune system a number of mathematical models have been formulated. Here we examine a class of B-cell models in which cell proliferation is governed by a non-negative, unimodal, symmetric response function f (h), where the field h summarizes the effect of the network on a ...
Stadler, Peter F., Schuster, Peter, Perelson, Alan S.   +2 more
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Pairwise competition and the replicator equation

Bulletin of Mathematical Biology, 2003
Spite in Hamilton's sense is defined as the willingness to harm oneself in order to harm another more. The standard replicator dynamic predicts that evolutionarily stable strategies are payoff-maximizing equilibria of the underlying game, and hence rules out the evolution of spiteful behavior.
Morgan, John, Steiglitz, Ken
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Permanence for Replicator Equations

1987
Many dynamical systems display strange attractors and hence orbits that are so sensitive to initial conditions as to make any long-term prediction (except on a statistical basis) a hopeless task. Such a lack of Ljapunov stability is not always crucial, however: Lagrange stability may be more relevant.
Hofbauer, J., Sigmund, K.
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Bijective Class of Replicator Equations

Mathematical Notes
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Mukhamedov, F. M., Pah, Ch. H., Rosli, A.   +2 more
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Turbulence in diffusion replicator equation

Physica D: Nonlinear Phenomena, 2008
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Orihashi, Kenji, Aizawa, Yoji
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NUMERICAL SOLUTION FOR THE FRACTIONAL REPLICATOR EQUATION

International Journal of Modern Physics C, 2005
In this paper, we study the replicator equation for the hawk–dove (HD) and Prisoner's Dilemma (PD) games and generalized it to the fractional differential equation.
Ahmed, E., El-Sayed, A. M. A., El-Mesiry, A. E. M., El-Saka, H. A. A.   +3 more
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Lyapunov Spectra in Diffusion Replicator Equation

AIP Conference Proceedings, 2008
Statistical Properties of the turbulence in the diffusion replicator equation of three species are numerically studied. The maximal Lyapunov exponent and Lyapunov dimension are derived precisely. Further, these characteristics obey some characteristic scaling laws.
Kenji Orihashi, Yoji Aizawa, Marko Robnik, Valery Romanovski   +3 more
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Analysis of a certain class of replicator equations

Journal of Mathematical Biology, 2006
Motivated by a problem in the evolution of sensory systems where gains obtained by improvements in detection are offset by increased costs, we prove several results about the dynamics of replicator equations with an n x n game matrix of the form: A( ij ) = a( i )b( j ) - c( i ).
Adams, Malcolm R., Sornborger, Andrew T.
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On Discrete-Time Replicator Equations with Nonlinear Payoff Functions

Dynamic Games and Applications, 2021
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