Asymptotic behaviors for nonlocal diffusion equations about the dispersal spread
From MaRDI portal
Publication:3298573
DOI10.1142/S0219530519500222zbMath1447.35235arXiv1911.07665OpenAlexW2997723774MaRDI QIDQ3298573
Fei-Ying Yang, Yuan-Hang Su, Wang-Tong Li
Publication date: 14 July 2020
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.07665
Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Eigenvalue problems for integral equations (45C05) Positive solutions of integral equations (45M20) Integro-partial differential equations (35R09)
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Cites Work
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- A nonlocal dispersal logistic equation with spatial degeneracy
- Multi-type entire solutions in a nonlocal dispersal epidemic model
- Principal eigenvalues for some nonlocal eigenvalue problems and applications
- Entire solutions of nonlocal dispersal equations with monostable nonlinearity in space periodic habitats
- Persistence criteria for populations with non-local dispersion
- On the definition and the properties of the principal eigenvalue of some nonlocal operators
- Nonlocal refuge model with a partial control
- Invasion entire solutions in a competition system with nonlocal dispersal
- On principal spectrum points/principal eigenvalues of nonlocal dispersal operators and applications
- Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
- On eigenvalue problems arising from nonlocal diffusion models
- Entire solutions in nonlocal dispersal equations with bistable nonlinearity
- On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
- Geometric analysis for the Metropolis algorithm on Lipschitz domains
- Boundary fluxes for nonlocal diffusion
- Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Entire solutions in the Fisher-KPP equation with nonlocal dispersal
- An estimate in the spirit of Poincaré's inequality
- Spatial dynamics of a nonlocal dispersal population model in a shifting environment
- Entire solution in an ignition nonlocal dispersal equation: asymmetric kernel
- Entire solutions in nonlocal monostable equations: asymmetric case
- Perturbation theory for linear operators.
- The evolution of dispersal
- Entire solutions for nonlocal dispersal equations with bistable nonlinearity: asymmetric case
- Random dispersal vs. non-local dispersal
- The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
- Effects of nonlocal dispersal and spatial heterogeneity on total biomass
- Singular measure as principal eigenfunction of some nonlocal operators
- On the principal eigenvalue of some nonlocal diffusion problems
- Pulsating fronts for nonlocal dispersion and KPP nonlinearity
- A nonlocal dispersal equation arising from a selection-migration model in genetics
- Nonlocal dispersal equations in time-periodic media: principal spectral theory, limiting properties and long-time dynamics
- Asymptotic behavior for nonlocal diffusion equations
- Entire solutions of a diffusive and competitive Lotka–Volterra type system with nonlocal delays
- On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle
- The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems
