Global dynamics of a competition model with non-local dispersal. I: The shadow system
From MaRDI portal
Publication:2019121
DOI10.1016/j.jmaa.2013.10.071zbMath1308.92085OpenAlexW2058516720MaRDI QIDQ2019121
Publication date: 27 March 2015
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.2013.10.071
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Cites Work
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- Evolution of mixed dispersal in periodic environments
- On the effects of migration and inter-specific competitions in steady state of some Lotka-Volterra model
- Can spatial variation alone lead to selection for dispersal?
- On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
- On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
- Spectral theory for general nonautonomous/random dispersal evolution operators
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence
- The evolution of slow dispersal rates: a reaction diffusion model
- Diffusion and ecological problems: Modern perspectives.
- The evolution of dispersal
- Criteria for the existence and lower bounds of principal eigenvalues of time periodic nonlocal dispersal operators and applications
- Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal
- Random dispersal vs. non-local dispersal
- A nonlocal inhomogeneous dispersal process
- Stability from the point of view of diffusion, relaxation and spatial inhomogeneity
- On the effects of migration and spatial heterogeneity on single and multiple species
- Evolutionary stability of ideal free nonlocal dispersal
- Non-Local dispersal and bistability
- Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
- Activators and Inhibitors in Pattern Formation
- Spatial Ecology via Reaction‐Diffusion Equations
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats
- Analytic semigroups and optimal regularity in parabolic problems
