Spatial competition strategies: the case of two refuges

DOI10.1016/j.cnsns.2021.106093zbMath1491.92133OpenAlexW3209600508MaRDI QIDQ2060661

Frank Richard Prieto Medina, Marcela Molina-Meyer

Publication date: 13 December 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106093

zbMATH Keywords

bifurcation pointsspatial heterogeneitypath-followingspectral-collocation methodsrefugesdiffusive Lotka-Volterra competition systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ecology (92D40)

Related Items (1)

Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations

Cites Work

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• Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems
• Superlinear indefinite systems: beyond Lotka-Volterra models
• Coexistence in the competition model with diffusion
• Spatially heterogeneous Lotka-Volterra competition
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic 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
• The Picone identity: a device to get optimal uniqueness results and global dynamics in population dynamics
• Modeling coopetition
• The competitive exclusion principle versus biodiversity through competitive segregation and further adaptation to spatial heterogeneities
• On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches
• Metasolutions of Parabolic Equations in Population Dynamics
• The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies
• In the blink of an Eye
• Numerical Computation of Coexistence States
• Structure of solution manifolds in a strongly coupled elliptic system
• Strong competition with refuges
• A Nonlocal Problem from Conservation Biology
• On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems

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