Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems

DOI10.1080/00036818808839819zbMath0682.35038OpenAlexW2061014010WikidataQ58303340 ScholiaQ58303340MaRDI QIDQ4731543

Julián López-Gómez, Rosa Pardo San Gil

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839819

zbMATH Keywords

positive solutionsLotka-Volterra systemsnonlinear eigenvalue problemsmultiparameter bifurcation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (8)

Local bifurcation theory for multiparameter nonlinear eigenvalue problems ⋮ The structure of positive solutions for a Schrödinger system ⋮ Coexistence regions in Lotka-Volterra models with diffusion ⋮ Two global several-parameter bifurcation theorems and their applications ⋮ A priori bounds and existence of positive solutions for semilinear elliptic systems ⋮ Bifurcation from semitrivial solution bundles and applications to certain equation systems ⋮ Analysis of diffusive two-competing-prey and one-predator systems with Beddington-DeAngelis functional response ⋮ The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model

Cites Work

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• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• Multiparameter bifurcation problems and topological degree
• Bifurcation from simple eigenvalues
• Some aspects of nonlinear eigenvalue problems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Global higher bifurcations in coupled systems of nonlinear eigenvalue problems
• On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Bifurcation from simple eigenvalues for several parameter families
• Multiparameter local bifurcation

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