Diffusive age-dependent population models and an application to genetics

DOI10.1016/0025-5564(82)90092-XzbMath0525.92009MaRDI QIDQ594000

Glenn F. Webb

Publication date: 1982

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

population geneticspopulation modelsage-dependentbounded geographical regionspatially dependenttwo allele Mendelian genetics population

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Groups and semigroups of linear operators (47D03) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

The work of Glenn F. Webb, Travelling waves for a size and space structured model in population dynamics: point to sustained oscillating solution connections, Biological consistency of an epidemic model with both vertical and horizontal transmissions, Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions, Analysis of age and spatially dependent population model: application to forest growth, Hopf bifurcation in a size-structured population dynamic model with random growth, Proteus mirabilis swarm-colony development with drift, The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion, Nonlinear age-dependent population dynamics with random diffusion

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