Spatially heterogeneous Lotka-Volterra competition
DOI10.1016/j.na.2017.09.008zbMath1375.35241OpenAlexW2761430761MaRDI QIDQ1680324
Julián López-Gómez, Sergio Fernández-Rincón
Publication date: 15 November 2017
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2017.09.008
stabilitymultiplicitycompetitionsingular perturbationdynamicsuniquenesspermanencecoexistencefounder control competition
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Second-order parabolic systems (35K40) Boundary value problems for second-order elliptic systems (35J57)
Related Items (5)
Cites Work
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- A singular perturbation result in competition theory
- An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles
- The evolution of slow dispersal rates: a reaction diffusion model
- Distance to \(C^k\) hypersurfaces
- Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- The maximum principle for cooperative weakly coupled elliptic systems and some applications
- The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions
- On the structure of the permanence region for competing species models with general diffusivities and transport effects
- Convergence in competition models with small diffusion coefficients
- Perturbation theory for linear operators.
- On the indices of fixed points of mappings in cones and applications
- Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models
- The competitive exclusion principle versus biodiversity through competitive segregation and further adaptation to spatial heterogeneities
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
- On the existence of postive solutions for some indefinite superlinear elliptic problems
- Spatial Ecology via Reaction‐Diffusion Equations
- Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
- Linear Second Order Elliptic Operators
- Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.
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