Asymptotic behavior of the generalized principal eigenvalues of nonlocal dispersal operators and applications

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) General topics in linear spectral theory for PDEs (35P05) Integro-partial differential equations (35R09)

Cites Work

Unnamed Item
Unnamed Item
A nonlocal dispersal logistic equation with spatial degeneracy
Principal eigenvalues for some nonlocal eigenvalue problems and applications
Persistence criteria for populations with non-local dispersion
On the definition and the properties of the principal eigenvalue of some nonlocal operators
Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
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
Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications
The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
Asymptotic behavior for nonlocal dispersal equations
Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence
A logistic equation with refuge and nonlocal diffusion
Mathematical biology. Vol. 1: An introduction.
The evolution of dispersal
Criteria for the existence and lower bounds of principal eigenvalues of time periodic nonlocal dispersal operators and applications
Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory
Limiting solutions of nonlocal dispersal problem in inhomogeneous media
The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications
Random dispersal vs. non-local dispersal
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
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
The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
Effects of dispersal and spatial heterogeneity on nonlocal logistic equations
Nonlocal Diffusion Equations with Integrable Kernels