Spatial propagation in nonlocal dispersal Fisher-KPP equations
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Publication:2662505
DOI10.1016/j.jfa.2021.108957zbMath1470.35118arXiv2007.15428OpenAlexW3129585491MaRDI QIDQ2662505
Shigui Ruan, Wen-Bing Xu, Wang-Tong Li
Publication date: 14 April 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15428
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)
Related Items (12)
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats ⋮ Recent developments on spatial propagation for diffusion equations in shifting environments ⋮ A free boundary problem with nonlocal diffusion and unbounded initial range ⋮ Propagation dynamics of a nonlocal reaction-diffusion system ⋮ Spreading properties for non-autonomous Fisher-KPP equations with non-local diffusion ⋮ Quantifying the Threshold Phenomenon for Propagation in Nonlocal Diffusion Equations ⋮ Spatial dynamics of a nonlocal dispersal Leslie-Gower predator-prey model with some shifting habitats ⋮ A Numerical Method for the Stability Analysis of Linear Age-Structured Models with Nonlocal Diffusion ⋮ Propagation dynamics of nonlocal dispersal monostable equations in time-space periodic habitats ⋮ The Cauchy problem for time-fractional linear nonlocal diffusion equations ⋮ Propagation phenomena for a nonlocal dispersal Lotka-Volterra competition model in shifting habitats ⋮ Propagation dynamics of Lotka-Volterra competition systems with asymmetric dispersal in periodic habitats
Cites Work
- Unnamed Item
- Unnamed Item
- Persistence criteria for populations with non-local dispersion
- Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
- Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats
- Traveling waves for a nonlocal anisotropic dispersal equation with monostable nonlinearity
- Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals
- Existence and nonexistence of traveling waves for a nonlocal monostable equation
- Biological growth and spread modeled by systems of recursions. I: Mathematical theory
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Spreading speeds and traveling waves for abstract monostable evolution systems
- Entire solutions in the Fisher-KPP equation with nonlocal dispersal
- On the stability of waves of nonlinear parabolic systems
- Multidimensional nonlinear diffusion arising in population genetics
- Traveling waves in a convolution model for phase transitions
- Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Almost periodic traveling waves of nonlocal evolution equations
- Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
- Entire solutions in nonlocal monostable equations: asymmetric case
- Fast propagation for reaction-diffusion cooperative systems
- Propagation phenomena in monostable integro-differential equations: acceleration or not?
- Metastability and stability of patterns in a convolution model for phase transitions
- Analysis of linear determinacy for spread in cooperative models
- Fast propagation for KPP equations with slowly decaying initial conditions
- Spreading speeds of nonlocal KPP equations in almost periodic media
- Random dispersal vs. non-local dispersal
- Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case
- Nonlocal dispersal cooperative systems: acceleration propagation among species
- Doubly nonlocal Fisher-KPP equation: speeds and uniqueness of traveling waves
- Asymptotic Behavior, Spreading Speeds, and Traveling Waves of Nonmonotone Dynamical Systems
- Accelerating Solutions in Integro-Differential Equations
- The Accommodation of Traveling Waves of Fisher’s Type to the Dynamics of the Leading Tail
- Long-Time Behavior of a Class of Biological Models
- Travelling-front solutions for integro-differential equations. I.
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
- The hair-trigger effect for a class of nonlocal nonlinear equations
- Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line
- Global stability in a nonlocal reaction-diffusion equation
- Uniqueness of travelling waves for nonlocal monostable equations
- The Effect of Dispersal Patterns on Stream Populations
- Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations
- Erratum: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
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