Global Stability of Spatially Homogeneous Equilibria in Migration-Selection Models

DOI10.1137/15M1027504zbMath1337.92142MaRDI QIDQ2794982

Linlin Su, Josef Hofbauer

Publication date: 18 March 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionmigrationselectionglobal asymptotic stabilityquasiconcave

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Global stability of solutions to ordinary differential equations (34D23) Genetics and epigenetics (92D10)

Related Items (5)

Clines with partial panmixia across a geographical barrier ⋮ Loss of genetic variation in the two-locus multiallelic haploid model ⋮ A migration-selection model in genetic engineering ⋮ Monotone and nonmonotone clines with partial panmixia across a geographical barrier ⋮ Uniqueness and multiplicity of clines in an environmental pocket

Cites Work

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• An introduction to migration-selection PDE models
• A survey of migration-selection models in population genetics
• Lotka-Volterra equation and replicator dynamics: A two-dimensional classification
• Evolution at a multiallelic locus under migration and uniform selection
• Diffusion in Fisher's population model
• A general cooperation theorem for hypercycles
• Domination or equilibrium
• Multidimensional nonlinear diffusion arising in population genetics
• Convergence of multilocus systems under weak epistasis or weak selection
• A semilinear parabolic system for migration and selection in population genetics
• Patterns for four-allele population genetics model
• Evolution of a semilinear parabolic system for migration and selection in population genetics
• The diffusion model for migration and selection in a dioecious population
• Global stability in diallelic migration-selection models
• Evolution under multiallelic migration-selection models
• Evolution of a semilinear parabolic system for migration and selection without dominance
• Matrix theory. Basic results and techniques

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