Gene-culture waves of advance

DOI10.1007/BF00276192zbMath0622.92014OpenAlexW2067235942WikidataQ47404310 ScholiaQ47404310MaRDI QIDQ1091303

Ken-Ichi Aoki

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00276192

zbMATH Keywords

population geneticsnonlinear diffusion equationsgene-culture coevolutionasymptotic speedsasynchronous wavescultural choicecultural innovationhominid evolutionlogistic attraction-repulsion modelmutant genesynchronous travelling waves

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications to the sciences (65Z05) Genetics and epigenetics (92D10)

Related Items (7)

Fundamental theorem of natural selection in biocultural populations ⋮ Ergodicity of the stochastic fractional reaction-diffusion equation ⋮ Self-organization analysis for a nonlocal convective Fisher equation ⋮ Spatial mosaic and interfacial dynamics in a Müllerian mimicry system. ⋮ Traveling wave behavior for a generalized Fisher equation ⋮ Nonstandard perturbation approximation and travelling wave solutions of nonlinear reaction diffusion equations ⋮ Gene-culture shock waves

Cites Work

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• Explicit solutions of Fisher's equation for a special wave speed
• Further remarks on Darwinian selection and altruism
• Travelling fronts in nonlinear diffusion equations
• A diffusion model for geographically structured populations
• Travelling wave solutions of diffusive Lotka-Volterra equations
• Long-Time Behavior of a Class of Biological Models
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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