Permanence under strong aggressions is possible.

DOI10.1016/S0294-1449(03)00022-2zbMath1086.35054OpenAlexW1995337448MaRDI QIDQ1412658

Santiago Cano-Casanova, Julián López-Gómez

Publication date: 25 November 2003

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_6_999_0

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Population dynamics (general) (92D25)

Related Items (12)

Can a species keep pace with a shifting climate? ⋮ Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models ⋮ The topology of dissipative systems ⋮ On the fine structure of the global attractor of a uniformly persistent flow ⋮ Local diffusion vs. nonlocal dispersal in periodic logistic equations ⋮ Effect of the protection zone on coexistence of the species for a ratio-dependent predator-prey model ⋮ Global dynamics of generalized logistic equations ⋮ Analysis of the periodically fragmented environment model. I: Species persistence ⋮ Sharp profiles for periodic logistic equation with nonlocal dispersal ⋮ Heterogeneous elliptic BVPs with a bifurcation-continuation parameter in the nonlinear mixed boundary conditions ⋮ Minimization of the Principal Eigenvalue Under Neumann Boundary Conditions ⋮ Superlinear indefinite systems: beyond Lotka-Volterra models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual semigroups and second order linear elliptic boundary value problems
• 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
• Discrete monotone dynamics and time-periodic competition between two species
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Stability and convergence in strongly monotone dynamical systems.
• On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
• On an abstract competition model and applications
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
• Stable coexistence and bi-stability for competitive systems on ordered Banach spaces
• Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.
• Existence and structure of the set of positive solutions of a general class of sublinear elliptic non-classical mixed boundary value problems.

This page was built for publication: Permanence under strong aggressions is possible.