A singular perturbation result in competition theory

DOI10.1016/j.jmaa.2016.07.065zbMath1355.35097OpenAlexW2495308357MaRDI QIDQ323801

Sergio Fernández-Rincón, Julián López-Gómez

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.065

zbMATH Keywords

competitionsingular perturbationpermanencecoexistencelimiting profilesmonotone scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions ⋮ Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models ⋮ Spatially heterogeneous Lotka-Volterra competition ⋮ Populations with individual variation in dispersal in heterogeneous environments: dynamics and competition with simply diffusing populations

Cites Work

• Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
• On the effects of spatial heterogeneity on the persistence of interacting species
• A priori bounds and multiple solutions for superlinear indefinite elliptic problems
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
• Convergence in competition models with small diffusion coefficients
• Spatial heterogeneity of resources versus Lotka-Volterra dynamics
• Global attractivity and singular perturbation for a class of nonlinear cooperative systems
• On an abstract competition model and applications
• Competing Species near a Degenerate Limit
• On the existence and uniqueness of coexistence states for the lotka-volterra competition model with diffusion and spatially dependent coefficients
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