Bifurcation and stability results for an equation arising in population genetics

DOI10.1007/BF01789483zbMath0479.35014OpenAlexW1982337425MaRDI QIDQ1161666

Kenneth J. Brown, Song-Sun Lin

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01789483

zbMATH Keywords

stabilitypopulation geneticsimplicit function theoremsemilinear elliptic boundary value problemsemilinear boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Related Items

Existence and regularity for a nonlinear boundary flow problem of population genetics ⋮ Models for the effects of individual size and spatial scale on competition between species in heterogeneous environments ⋮ Existence and nonexistence of steady-state solutions for a selection- migration model in population genetics

Cites Work

• A selection-migration model in population genetics
• Nonlinear diffusion in population genetics
• Bifurcation from simple eigenvalues
• Remarks on a non linear equation arising in population genetics