Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations

DOI10.1007/s00285-022-01776-6zbMath1497.92175arXiv2104.00392OpenAlexW3140594732WikidataQ113905344 ScholiaQ113905344MaRDI QIDQ2161387

Yoichiro Mori, Daniel B. Cooney

Publication date: 4 August 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.00392

zbMATH Keywords

evolutionary game theoryevolution of cooperationmultilevel selectionreplicator equationshyperbolic PDEs

Mathematics Subject Classification ID

Problems related to evolution (92D15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Evolutionary games (91A22)

Related Items (4)

A PDE model for protocell evolution and the origin of chromosomes via multilevel selection ⋮ Measure framework for the pure selection equation: global well posedness and numerical investigations ⋮ Stochastic analysis and optimal control of a donation game system with non-uniform interaction rates and Gram-Schmidt orthogonalization procedure ⋮ Assortment and reciprocity mechanisms for promotion of cooperation in a model of multilevel selection

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