Advance of advantageous genes for a multiple-allele population genetics model

DOI10.1016/j.jtbi.2012.09.005zbMath1397.92472OpenAlexW1987839925WikidataQ51322476 ScholiaQ51322476MaRDI QIDQ1790861

Roger Lui, Linlin Su

Publication date: 4 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.09.005

zbMATH Keywords

linear determinacytraveling wave solutioncooperative systemasymptotic speed of propagationfitness matrix

Mathematics Subject Classification ID

Problems related to evolution (92D15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

Cites Work

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• Biological growth and spread modeled by systems of recursions. I: Mathematical theory
• Travelling fronts in nonlinear diffusion equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• The behavior of solutions of some non-linear diffusion equations for large time
• Spreading disease: Integro-differential equations old and new.
• Normal solvability of linear elliptic problems
• Patterns for four-allele population genetics model
• Analysis of linear determinacy for spread in cooperative models
• Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
• Spreading speeds as slowest wave speeds for cooperative systems
• Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium

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