Fixation in haploid populations exhibiting density dependence. II: The quasi-neutral case

DOI10.1016/j.tpb.2007.04.002zbMath1147.92027OpenAlexW4235816095WikidataQ51912339 ScholiaQ51912339MaRDI QIDQ935963

Todd L. Parsons, Christopher Quince

Publication date: 12 August 2008

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2007.04.002

zbMATH Keywords

SISCompetitionEpidemiologyLogisticAsymptoticAlleleDriftNeutral

Mathematics Subject Classification ID

Related Items (19)

Disentangling eco-evolutionary effects on trait fixation ⋮ Evolution of cooperation with respect to fixation probabilities in multi-player games with random payoffs ⋮ Fixation in the stochastic Lotka-Volterra model with small fitness trade-offs ⋮ Population genetics with fluctuating population sizes ⋮ Analysis of diversity-dependent species evolution using concepts in population genetics ⋮ Quasi-neutral evolution in populations under small demographic fluctuations ⋮ Average abundancy of cooperation in multi-player games with random payoffs ⋮ Absorption and fixation times for neutral and quasi-neutral populations with density dependence ⋮ Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology ⋮ Features of fast living: on the weak selection for longevity in degenerate birth-death processes ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Fixation in haploid populations exhibiting density dependence. I: The non-neutral case ⋮ Macroscopically observable probability currents in finite populations ⋮ The Wright-Fisher model with efficiency ⋮ Extinction time for the weaker of two competing SIS epidemics ⋮ Demographic noise slows down cycles of dominance ⋮ Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria ⋮ Fixation probabilities in populations under demographic fluctuations ⋮ Effect of variability in payoffs on conditions for the evolution of cooperation in a small population

Uses Software

• UMFPACK

Cites Work

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