Convergence to constant states in a population genetic model with diffusion

DOI10.1016/0362-546X(94)00237-CzbMath0843.92016OpenAlexW2105826462MaRDI QIDQ4865321

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Publication date: 21 August 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00237-c

zbMATH Keywords

stabilitypopulation geneticsglobal solutionsequilibriarandom matingcontinuously reproducing diploid populationno flux boundary conditioninvariant rectanglesMalthusian fitnessnon-weakly coupled system

Mathematics Subject Classification ID

Problems related to evolution (92D15) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

Multiple steady-state solutions of nonlinear parabolic systems in convex invariant sets

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
• Frequency-dependent selection in logistic growth models
• Positive solutions of an elliptic system arising from a model in evolutionary ecology
• One-parameter family of invariant sets for nonweakly coupled nonlinear parabolic systems
• Asymptotic Behavior of Solutions to an Evolutionary Ecology Model with Diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Decay to Uniform States in Ecological Interactions

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