Global dynamics of a selection model for the growth of a population with genotypic fertility differences

DOI10.1007/BF02154751zbMath0499.92017WikidataQ113907971 ScholiaQ113907971MaRDI QIDQ1172016

Paul Waltman, Geoffrey Butler, Herb I. Freedman

Publication date: 1982

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

zbMATH Keywords

global dynamicsselection modelgenotypic fertility differenceslimiting genotypic proportionsone locus two allele problempopulation growth model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Genetics and epigenetics (92D10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Analysis of a continuous one-locus, two-allele genetic model with genotypic fertility differences ⋮ Predator influence on the growth of a population with three genotypes. III. Persistence and extinction ⋮ The effects of immunity and resistance on the development of AIDS ⋮ Nonmonotone invariant manifolds in the Nagylaki-Crow model ⋮ Effects of genetic immunity and resistance on endemics ⋮ Incorporating mating preferences into a host-parasite model ⋮ Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences ⋮ Quasimonotone systems and convergence to equilibrium in a population genetic model ⋮ Disease emergence in deterministic and stochastic models for host and pathogen ⋮ Selective mating in a continuous model of epistasis

Cites Work

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• Continuous selective models
• Selection models with fertility differences
• Predator influence on the growth of a population with three genotypes

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