Concentration phenomenon in some non-local equation
DOI10.3934/dcdsb.2017037zbMath1360.35291arXiv1510.01971OpenAlexW2258429081MaRDI QIDQ524045
Olivier Bonnefon, Jérôme Coville, Guillaume Legendre
Publication date: 25 April 2017
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.01971
Problems related to evolution (92D15) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
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- Persistence criteria for populations with non-local dispersion
- On the definition and the properties of the principal eigenvalue of some nonlocal operators
- Dynamics of sexual populations structured by a space variable and a phenotypical trait
- Nonlocal refuge model with a partial control
- On principal spectrum points/principal eigenvalues of nonlocal dispersal operators and applications
- On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
- On selection dynamics for competitive interactions
- Local stability of evolutionary attractors for continuous structured populations
- Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space
- On selection dynamics for continuous structured populations
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Liouville-type results for semilinear elliptic equations in unbounded domains
- Mutation load and mutation-selection-balance in quantitative genetic traits
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations
- Singular measure as principal eigenfunction of some nonlocal operators
- Asymptotic stability of equilibria of selection-mutation equations
- Long time evolution of populations under selection and Vanishing mutations
- Pulsating fronts for nonlocal dispersion and KPP nonlinearity
- On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- General relative entropy inequality: an illustration on growth models
- Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations
- STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL: THE PURE MUTATION CASE
- Dirac concentrations in Lotka-Volterra parabolic PDEs
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- New development in freefem++
- Singular Limits for Reaction-Diffusion Equations with Fractional Laplacian and Local or Nonlocal Nonlinearity
- Asymptotics of steady states of a selection–mutation equation for small mutation rate
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