Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses

DOI10.1007/BF00176457zbMath0782.92010MaRDI QIDQ1202551

Publication date: 25 February 1993

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

periodic solutions equilibrium invariant curves two-dimensional models population density equilibrium stability allele frequency autonomous ordinary differential equations two alleles continuous reproduction discrete reproduction one locus one-hump genotype fitness reproducing diploid populations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Additive difference equations (39A10) Genetics and epigenetics (92D10)

Related Items (8)

PERIOD-DOUBLING BIFURCATIONS FOR SYSTEMS OF DIFFERENCE EQUATIONS AND APPLICATIONS TO MODELS IN POPULATION BIOLOGY ⋮ Weak Allee effects and species coexistence ⋮ Density-dependent selection migration model with non-monotone fitness functions ⋮ Results on asymptotic behaviour for discrete, two-patch metapopulations with density-dependent selection ⋮ Dynamical behaviour of a discrete selection-migration model with arbitrary dominance ⋮ Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects ⋮ Dynamical analysis of density-dependent selection in a discrete one-island migration model ⋮ Global attractors for a discrete selection model with periodic immigration

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