Density-dependent selection migration model with non-monotone fitness functions

DOI10.1007/BF00160421zbMath0788.92016MaRDI QIDQ688472

Roger Lui, James F. Selgrade

Publication date: 21 November 1993

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

zbMATH Keywords

asymptotic behaviorAllee effectsdiallelic single locus populationgeometry of nullclinesODE density-dependent selection modelone-dimensional spatial diffusionone-hump functions of total population sizespatially constant stable equilibriumzero von Neumann boundary conditions

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

Related Items (2)

Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection ⋮ The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection

Cites Work

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• Convergence to constant equilibrium for a density-dependent selection model with diffusion
• Dynamical behavior of differential equation models of frequency and density dependent populations
• Stable periodic solutions for two species, density dependent coevolution
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Dynamical behavior for population genetics models of differential and difference equations with nonmonotone fitnesses
• Resource partitioning among competing species - a coevolutionary approach
• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
• Bifurcation Analysis of a Predator-Prey System Involving Group Defence
• Decay to Uniform States in Ecological Interactions

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