Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models
DOI10.1007/s00526-017-1161-5zbMath1378.35167OpenAlexW2609194736MaRDI QIDQ2403767
Julián López-Gómez, Sergio Fernández-Rincón
Publication date: 12 September 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-017-1161-5
Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Second-order parabolic systems (35K40) Boundary value problems for second-order elliptic systems (35J57)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A singular perturbation result in competition theory
- 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
- The evolution of slow dispersal rates: a reaction diffusion model
- Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
- On the effects of spatial heterogeneity on the persistence of interacting species
- Permanence under strong aggressions is possible.
- Convergence in competition models with small diffusion coefficients
- Perturbation theory for linear operators.
- Spatial heterogeneity of resources versus Lotka-Volterra dynamics
- Metasolutions of Parabolic Equations in Population Dynamics
- Persistence in Infinite-Dimensional Systems
- Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
- On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
- On an abstract competition model and applications
- Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
- Competing Species near a Degenerate Limit
- Spatial Ecology via Reaction‐Diffusion Equations
- On the existence and uniqueness of coexistence states for the lotka-volterra competition model with diffusion and spatially dependent coefficients
- Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
- Linear Second Order Elliptic Operators
This page was built for publication: Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models