Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches

DOI10.1017/S0956792513000429zbMath1307.34052OpenAlexW2170799558MaRDI QIDQ2878025

Marcela Molina-Meyer, Julián López-Gómez, Andrea Tellini

Publication date: 28 August 2014

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792513000429

zbMATH Keywords

bifurcation diagramsunstable manifoldsdegree of instabilityfacilitation in polluted patchesuniqueness of local attractor

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (11)

Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Unnamed Item ⋮ Large solutions for a semilinear elliptic problem with sign-changing weights ⋮ An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions ⋮ Generating an arbitrarily large number of isolas in a superlinear indefinite problem ⋮ Spatial competition strategies: the case of two refuges ⋮ On the number of positive solutions to an indefinite parameter-dependent Neumann problem ⋮ Nodal solutions of weighted indefinite problems ⋮ Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems*

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• Unnamed Item

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