The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
From MaRDI portal
Publication:2317986
DOI10.1016/j.jfa.2019.02.013zbMath1418.35229arXiv1805.04804OpenAlexW2963141371WikidataQ128384264 ScholiaQ128384264MaRDI QIDQ2317986
Publication date: 13 August 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.04804
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)
Related Items (68)
A free boundary problem of some modified Leslie-gower predator-prey model with nonlocal diffusion term ⋮ Approximation of random diffusion equations by nonlocal diffusion equations in free boundary problems of one space dimension ⋮ Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries ⋮ The dynamics of partially degenerate nonlocal diffusion systems with free boundaries ⋮ Global dynamics and asymptotic spreading speeds for a partially degenerate epidemic model with time delay and free boundaries ⋮ Long-time dynamics of a nonlocal epidemic model with free boundaries: spreading-vanishing dichotomy ⋮ Dynamics for nonlocal diffusion problems with a free boundary ⋮ Dynamics for an SIR epidemic model with nonlocal diffusion and free boundaries ⋮ Propagation and reaction–diffusion models with free boundaries ⋮ Dynamics of an epidemic model with advection and free boundaries ⋮ Dynamics for a two-phase free boundary system in an epidemiological model with couple nonlocal dispersals ⋮ Recent developments on spatial propagation for diffusion equations in shifting environments ⋮ A free boundary problem with nonlocal diffusion and unbounded initial range ⋮ The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries ⋮ On the two-phase fractional Stefan problem ⋮ The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1 ⋮ The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries ⋮ The dynamics of nonlocal diffusion systems with different free boundaries ⋮ Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: spreading speed ⋮ The partially degenerate nonlocal diffusion competition model with a free boundary: invasion of an inferior or superior competitor ⋮ Two-species nonlocal cross-diffusion models with free boundaries ⋮ Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ A West Nile virus nonlocal model with free boundaries and seasonal succession ⋮ Degeneracies versus reactions for some nonlocal dispersal equations ⋮ Spreading-vanishing scenarios in a time-periodic parasitic-mutualistic model of mistletoes and birds in heterogeneous environment with free boundary ⋮ Free boundary problems with local-nonlocal diffusions and different free boundaries. I: Global solution ⋮ Spreading speeds of a nonlocal diffusion model with free boundaries in the time almost periodic media ⋮ The nonlocal dispersal equation with seasonal succession ⋮ Semi-wave and spreading speed for a nonlocal diffusive Fisher-KPP model with free boundaries in time periodic environment ⋮ A nonlocal diffusion competition model with seasonal succession and free boundaries ⋮ Sharp patterns for some semilinear nonlocal dispersal equations ⋮ A delay induced nonlocal free boundary problem ⋮ Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models ⋮ A nonlocal diffusion SIR epidemic model with nonlocal incidence rate and free boundaries ⋮ The monostable cooperative system with nonlocal diffusion and free boundaries ⋮ The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in \(\mathbb{R}^3 \) ⋮ Free boundary problems of a mutualist model with nonlocal diffusion ⋮ The longtime behavior of the model with nonlocal diffusion and free boundaries in online social networks ⋮ An SIR epidemic model with nonlocal diffusion and free boundaries ⋮ Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries ⋮ Propagation, diffusion and free boundaries ⋮ Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions ⋮ Asymptotic behaviors for nonlocal diffusion equations about the dispersal spread ⋮ Analysis of a West Nile virus model with nonlocal diffusion and free boundaries ⋮ Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Lower bounds for some nonlocal dispersal equations ⋮ Approximation of random diffusion by nonlocal diffusion in age-structured models ⋮ Free boundary problems with nonlocal and local diffusions. II: Spreading-vanishing and long-time behavior ⋮ Entire solutions originating from monotone fronts for nonlocal dispersal equations with bistable nonlinearity ⋮ Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment ⋮ Fujita type critical exponent for a free boundary problem with spatial-temporal source ⋮ Systems with nonlocal vs. local diffusions and free boundaries ⋮ A nonlocal diffusion problem with a sharp free boundary ⋮ Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries. I: Semi-wave and a threshold condition ⋮ Free boundary problems with local-nonlocal diffusions and different free boundaries. II: Spreading-vanishing and long-time behavior ⋮ The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries ⋮ Two species nonlocal diffusion systems with free boundaries ⋮ Free boundary problems with nonlocal and local diffusions. I: Global solution ⋮ A Fisher-KPP model with a nonlocal weighted free boundary: analysis of how habitat boundaries expand, balance or shrink ⋮ Dynamics of a free boundary problem modelling species invasion with impulsive harvesting ⋮ Global asymptotic stability of constant equilibrium in a nonlocal diffusion competition model with free boundaries ⋮ Free boundary problems for the local-nonlocal diffusive model with different moving parameters ⋮ An SIR epidemic model with nonlocal diffusion, nonlocal infection and free boundaries ⋮ Spatiotemporal dynamics for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effects ⋮ Effects of boundary and spatial heterogeneity on nonlocal dispersal equations ⋮ Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
Cites Work
- Diffusive KPP equations with free boundaries in time almost periodic environments I: Spreading and vanishing dichotomy
- Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity
- Diffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.
- Persistence criteria for populations with non-local dispersion
- On the definition and the properties of the principal eigenvalue of some nonlocal operators
- Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
- The Stefan problem for the Fisher-KPP equation
- The diffusive competition model with a free boundary: invasion of a superior or inferior competitor
- Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats
- A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
- Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
- On eigenvalue problems arising from nonlocal diffusion models
- Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions.
- Semi-wave and spreading speed for the diffusive competition model with a free boundary
- Entire solutions in nonlocal dispersal equations with bistable nonlinearity
- 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
- Spreading and vanishing in nonlinear diffusion problems with free boundaries
- A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Entire solutions in the Fisher-KPP equation with nonlocal dispersal
- Multidimensional nonlinear diffusion arising in population genetics
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
- The evolution of dispersal
- On a free boundary problem for a two-species weak competition system
- Spreading speed revisited: analysis of a free boundary model
- Random dispersal vs. non-local dispersal
- Spreading in space-time periodic media governed by a monostable equation with free boundaries. II: Spreading speed
- Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
- A free boundary problem of a diffusive SIRS model with nonlinear incidence
- A diffusive logistic model with a free boundary in time-periodic environment
- On some free boundary problems of the prey-predator model
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
- On a non-local equation arising in population dynamics
This page was built for publication: The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
