SINGULARLY PERTURBED ELLIPTIC SYSTEM MODELING THE COMPETITIVE INTERACTIONS FOR A SINGLE RESOURCE
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Publication:2845071
DOI10.1142/S021820251350022XzbMath1279.35033MaRDI QIDQ2845071
Publication date: 22 August 2013
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
elliptic systemsheterogeneous environmentprey-predator interactionscoexistence solutionssingular limit asymptotic
Ecology (92D40) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)
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Cites Work
- On the principal eigenvalue of linear cooperating elliptic systems with small diffusion
- A reaction-diffusion system with fast reversible reaction.
- General theory of competitive coexistence in spatially-varying environments.
- Convergence in competition models with small diffusion coefficients
- On the indices of fixed points of mappings in cones and applications
- Spatial heterogeneity of resources versus Lotka-Volterra dynamics
- Global dynamics of the chemostat with different removal rates and variable yields
- Effects of spatial structure and diffusion on the performances of the chemostat
- Global bifurcation of coexistence state for the competition model in the chemostat
- Fixed point theorems and dissipative processes
- On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
- On the shape of least‐energy solutions to a semilinear Neumann problem
- A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
- Elliptic Partial Differential Equations of Second Order
- Limiting Behavior for Competing Species
- Spatial segregation limit of a competition–diffusion system
- Positive solutions for a three-species competition system with diffusion—I. General existence results
- Spatial Ecology via Reaction‐Diffusion Equations
- Singular Limit of a Spatially Inhomogeneous Lotka–Volterra Competition–Diffusion System
- Elliptic Partial Differential Equations
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