The diffusion model for migration and selection in a dioecious population

DOI10.1007/BF00160499zbMath0839.92012OpenAlexW2001821788MaRDI QIDQ1909280

Thomas Nagylaki

Publication date: 12 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf00160499

zbMATH Keywords

diffusion approximationmigrationselectionclinestransition conditionsgeographical barrierpanmictic coloniesdioecious populationsex linkage

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

A semilinear parabolic system for migration and selection in population genetics, On an indefinite semilinear elliptic problem on \(\mathbb R^N\), Evolution of a semilinear parabolic system for migration and selection in population genetics, Diffusion approximations for one-locus multi-allele kin selection, mutation and random drift in group-structured populations: a unifying approach to selection models in population genetics, Clines with partial panmixia across a geographical barrier, Patterns of multiallelic polymorphism maintained by migration and selection., Evolution at a multiallelic locus under migration and uniform selection, A negative answer to a conjecture arising in the study of selection-migration models in population genetics, Evolution of a semilinear parabolic system for migration and selection without dominance, Global Stability of Spatially Homogeneous Equilibria in Migration-Selection Models, Critical phenomena in linear elliptic problems, A semilinear interface problem arising from population genetics, Uniqueness and multiplicity of clines in an environmental pocket, Global stability in diallelic migration-selection models, Dying on the way: the influence of migrational mortality on clines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and nonexistence of steady-state solutions for a selection- migration model in population genetics
• Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
• Existence and uniqueness of solutions for a nonlinear diffusion problem arising in population genetics
• Models and approximations for random genetic drift
• Migration-selection polymorphism in dioecious populations
• Polymorphism with migration and selection
• Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses
• Graph intersection and uniqueness results for some nonlinear elliptic problems
• A singularity theory approach to a semilinear boundary value problem
• On a nonlinear elliptic eigenvalue problem with neumann boundary conditions, with an application to population genetics
• Long-Time Behavior of a Class of Biological Models
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Nonmonotone Clines in Homogeneous Space Cannot Be Stable
• Remarks on a non linear equation arising in population genetics
• On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics