Propagation phenomena in monostable integro-differential equations: acceleration or not?
From MaRDI portal
Publication:1785936
DOI10.1016/j.jde.2017.06.035zbMath1409.35204arXiv1610.05908OpenAlexW2536062380MaRDI QIDQ1785936
Jérôme Coville, Matthieu Alfaro
Publication date: 2 October 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05908
Related Items (38)
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals ⋮ Fast propagation for a reaction-diffusion equation in cylinder ⋮ Propagation and reaction–diffusion models with free boundaries ⋮ Recent developments on spatial propagation for diffusion equations in shifting environments ⋮ A free boundary problem with nonlocal diffusion and unbounded initial range ⋮ The hair-trigger effect for a class of nonlocal nonlinear equations ⋮ Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels ⋮ Spatial propagation in nonlocal dispersal Fisher-KPP equations ⋮ The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1 ⋮ Propagation dynamics in an integro-differential Fisher-KPP equation with degenerated reaction functions ⋮ Accelerating invasions and the asymptotics of fat-tailed dispersal ⋮ Fujita blow up phenomena and hair trigger effect: the role of dispersal tails ⋮ Optimal estimates on the propagation of reactions with fractional diffusion ⋮ Propagation phenomena with nonlocal diffusion in presence of an obstacle ⋮ Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations ⋮ Mathematical Properties of a Class of Integro-differential Models from Population Genetics ⋮ Acceleration of propagation in a chemotaxis‐growth system with slowly decaying initial data ⋮ Propagation thresholds in a diffusive epidemic model with latency and vaccination ⋮ Non-local diffusion problems with Neumann type boundary values ⋮ The monostable cooperative system with nonlocal diffusion and free boundaries ⋮ The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in \(\mathbb{R}^3 \) ⋮ Slowing Allee effect versus accelerating heavy tails in monostable reaction diffusion equations ⋮ On the existence of solutions of a three steps crisis integro-differential equation ⋮ Propagation, diffusion and free boundaries ⋮ Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line ⋮ Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence ⋮ Accelerating propagation in a recursive system arising from seasonal population models with nonlocal dispersal ⋮ Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries ⋮ Fast propagation for reaction-diffusion cooperative systems ⋮ Asymptotic spreading of a time periodic diffusion equation with degenerate monostable nonlinearity ⋮ Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case ⋮ Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries. I: Semi-wave and a threshold condition ⋮ When fast diffusion and reactive growth both induce accelerating invasions ⋮ Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach ⋮ Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions ⋮ Nonlocal dispersal cooperative systems: acceleration propagation among species ⋮ Propagation acceleration in reaction diffusion equations with anomalous diffusions ⋮ Blow-up phenomena for positive solutions of semilinear diffusion equations in a half-space: the influence of the dispersion kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
- Traveling wave solutions to some reaction diffusion equations with fractional Laplacians
- Existence and nonexistence of traveling waves for a nonlocal monostable equation
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Multidimensional nonlinear diffusion arising in population genetics
- Spreading disease: Integro-differential equations old and new.
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
- Fast propagation for KPP equations with slowly decaying initial conditions
- Existence and asymptotics of fronts in non local combustion models
- The influence of fractional diffusion in Fisher-KPP equations
- Slowing Allee effect versus accelerating heavy tails in monostable reaction diffusion equations
- On the Fisher–KPP equation with fast nonlinear diffusion
- Accelerating Solutions in Integro-Differential Equations
- Some Helly Theorems for Monotone Functions
- Long-Time Behavior of a Class of Biological Models
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- Travelling-front solutions for integro-differential equations. I.
- Uniqueness of travelling waves for nonlocal monostable equations
- The Fisher-KPP Equation with Nonlinear Fractional Diffusion
- Quenching and propagation of combustion without ignition temperature cutoff
- On a non-local equation arising in population dynamics
This page was built for publication: Propagation phenomena in monostable integro-differential equations: acceleration or not?