Clines with directional selection and partial panmixia in an unbounded unidimensional habitat

DOI10.3934/dcds.2015.35.1697zbMath1308.35317OpenAlexW2325466116MaRDI QIDQ484402

Linlin Su, Thomas Nagylaki

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.1697

zbMATH Keywords

migrationpopulation structuresubdivided populationsspatial structuregeographical structurelong-distance migration

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Genetics and epigenetics (92D10) Integro-partial differential equations (35R09)

Related Items (7)

Clines with partial panmixia across a geographical barrier ⋮ Clines in quantitative traits: the role of migration patterns and selection scenarios ⋮ Clines with complete dominance and partial panmixia in an unbounded unidimensional habitat ⋮ Clines with partial panmixia in an environmental pocket ⋮ Monotone and nonmonotone clines with partial panmixia across a geographical barrier ⋮ Uniqueness and multiplicity of clines in an environmental pocket ⋮ Dying on the way: the influence of migrational mortality on clines

Cites Work

• An introduction to migration-selection PDE models
• Polymorphism in multiallelic migration-selection models with dominance
• An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles
• An indefinite nonlinear diffusion problem in population genetics. II: Stability and multiplicity
• The strong-migration limit in geographically structured populations
• Nonlinear diffusion in population genetics
• Elliptic partial differential equations of second order
• A semilinear parabolic system for migration and selection in population genetics
• The influence of partial panmixia on neutral models of spatial variation
• An integro-PDE model from population genetics
• Clines with partial panmixia
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