The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection

DOI10.1007/s00285-010-0339-7zbMath1303.92086OpenAlexW2094340938WikidataQ42656299 ScholiaQ42656299MaRDI QIDQ663139

Philippe Souplet, Michael Winkler

Publication date: 14 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-010-0339-7

zbMATH Keywords

reaction-diffusion systemselectionextinctionPopulation geneticsFisher approximation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45)

Related Items

Fisher–KPP equation on the Heisenberg group, Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection, The retreat of the less fit allele in a population-controlled model for population genetics, Fujita phenomena in nonlinear pseudo-parabolic system, The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection

Cites Work

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• The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection
• Density-dependent selection migration model with non-monotone fitness functions
• Convergence to constant equilibrium for a density-dependent selection model with diffusion
• Existence and non-existence of global solutions for a semilinear heat equation
• Boundedness and blow up for a semilinear reaction-diffusion system
• Multidimensional nonlinear diffusion arising in population genetics
• Evolution of a semilinear parabolic system for migration and selection without dominance