Positive solutions of an elliptic system arising from a model in evolutionary ecology

DOI10.1007/BF00160537zbMath0741.92012OpenAlexW2050721761MaRDI QIDQ1174299

Roger Lui

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00160537

zbMATH Keywords

growthmaximum principleexistencenonexistencepositive solutionsDirichlet boundary conditionsfixed-point indexspreadsteady-state equationsparabolic systemfitnessdensity dependent selectionevolutionary ecology

Mathematics Subject Classification ID

Related Items (5)

The relationships between equilibria and positive solutions of certain nonlinear elliptic systems ⋮ Positive solutions of certain elliptic systems with density-dependent diffusions ⋮ Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics. ⋮ Convergence to constant states in a population genetic model with diffusion ⋮ Multiple steady-state solutions of nonlinear parabolic systems in convex invariant sets

Cites Work

• Unnamed Item
• Convergence to constant equilibrium for a density-dependent selection model with diffusion
• On the indices of fixed points of mappings in cones and applications
• Asymptotic Behavior of Solutions to an Evolutionary Ecology Model with Diffusion
• Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

This page was built for publication: Positive solutions of an elliptic system arising from a model in evolutionary ecology