Convergence to constant equilibrium for a density-dependent selection model with diffusion

DOI10.1007/BF00276061zbMath0716.92011WikidataQ113909188 ScholiaQ113909188MaRDI QIDQ753708

Roger Lui

Publication date: 1988

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

zbMATH Keywords

maximum principlespopulation densityallele frequencyfrequency dependent selectioncontracting rectanglesbounded domain with homogeneous Neumann boundary conditionsconstant equilibriumdensity dependent selectionsingle locus two alleles selection model with diffusionzero population mean fitness curve

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Genetics and epigenetics (92D10)

Related Items (6)

Convergence to constant states in a population genetic model with diffusion ⋮ Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection ⋮ Multiple steady-state solutions of nonlinear parabolic systems in convex invariant sets ⋮ Positive solutions of an elliptic system arising from a model in evolutionary ecology ⋮ The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection ⋮ Density-dependent selection migration model with non-monotone fitness functions

Cites Work

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• Dynamical behavior of differential equation models of frequency and density dependent populations
• Frequency-dependent selection in logistic growth models
• Geometric theory of semilinear parabolic equations
• Decay to Uniform States in Ecological Interactions

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