A multilocus analysis of intraspecific competition and stabilizing selection on a quantitative trait

DOI10.1007/s00285-004-0294-2zbMath1062.92047OpenAlexW1492851229WikidataQ51981578 ScholiaQ51981578MaRDI QIDQ1781849

Reinhard Bürger

Publication date: 9 June 2005

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

Full work available at URL: https://doi.org/10.1007/s00285-004-0294-2

zbMATH Keywords

difference equationsgradient systemrecombinationgenetic variationbalancing selectionfrequency-dependent selectionlinkage equilibriumdensity-dependent selectiondisruptive selection

Mathematics Subject Classification ID

Problems related to evolution (92D15) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Genetics and epigenetics (92D10)

Related Items (16)

Long-term evolution of polygenic traits under frequency-dependent intraspecific competition ⋮ Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migration ⋮ Loss of genetic variation in the two-locus multiallelic haploid model ⋮ Maximization principles for frequency-dependent selection. II: The one-locus multiallele case ⋮ Multilocus population-genetic theory ⋮ Maximization principles for frequency-dependent selection. I: The one-locus two-allele case ⋮ Optimization under frequency-dependent selection ⋮ Multi-species outcomes in a common model of sympatric speciation ⋮ Evolutionary distributions and competition by way of reaction-diffusion and by way of convolution ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Competitive divergence in non-random mating populations ⋮ A multilocus-multiallele analysis of frequency-dependent selection induced by intraspecific competition ⋮ Discrete polymorphisms due to disruptive selection on a continuous trait. I: The one-locus case ⋮ Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models ⋮ Evolution of dominance under frequency-dependent intraspecific competition ⋮ Existence and stability of positive steady-state solutions for a Lotka-Volterra system with intraspecific competition

Cites Work

• Does K-selection imply prudent predation?
• Evolution and intraspecific exploitative competition. II. A two-locus model for additive gene effects
• Evolution and intraspecific exploitative competition I. One-locus theory for small additive gene effects
• Convergence of multilocus systems under weak epistasis or weak selection
• Additive genetic variation under intraspecific competition and stabilizing selection: A two-locus study.
• Quantitative variability and multilocus polymorphism under epistatic selection
• The two-locus model of Gaussian stabilizing selection
• Dynamics of density- and frequency-dependent selection
• Evolutionary Games and Population Dynamics
• Invariant manifolds
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