Clines in the presence of asymmetric migration

DOI10.1007/BF00275443zbMath0462.92009WikidataQ113909316 ScholiaQ113909316MaRDI QIDQ1153055

J. P. Pauwelussen, Lambertus A. Peletier

Publication date: 1981

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

zbMATH Keywords

monotonicityexistenceuniquenessselectionpopulation geneticsnonlinear diffusion problemsclinestravelling wave solutionasymmetric migrationperturbed solutionspopulation gradients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

Related Items (6)

Traveling wave solution for two kinds of reaction-diffusion equations ⋮ A semilinear parabolic system for migration and selection in population genetics ⋮ Invariant Painlevé analysis and coherent structures of two families of reaction-diffusion equations ⋮ Painlevé analysis and partial integrability of a class of reaction-diffusion equations ⋮ Evolution of a semilinear parabolic system for migration and selection without dominance ⋮ A quasispecies on a moving oasis

Cites Work

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• Stability of displacement clines arising in allospecies competition
• Multidimensional nonlinear diffusion arising in population genetics
• The behavior of solutions of some non-linear diffusion equations for large time
• Topics in stability and bifurcation theory
• Remarks on a non linear equation arising in population genetics
• Convergence to travelling fronts in semilinear parabolic equations

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