Traveling wave solutions of periodic nonlocal Fisher-KPP equations with non-compact asymmetric kernel

DOI10.3934/dcdss.2022061zbMath1495.35076OpenAlexW4226117613MaRDI QIDQ2676258

Aijun Zhang

Publication date: 27 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2022061

zbMATH Keywords

principal eigenvaluenonlocal dispersalspreading speedmonostable equationrandom dispersal

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Traveling wave solutions (35C07)

Related Items (1)

Propagation dynamics of nonlocal dispersal monostable equations in time-space periodic habitats

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effects of spatial variations and dispersal strategies on principal eigenvalues of dispersal operators and spreading speeds of monostable equations
• Traveling wave solutions with mixed dispersal for spatially periodic Fisher-KPP equations
• On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
• Nonlinear stability of traveling wave fronts for nonlocal delayed reaction-diffusion equations
• On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
• Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• Traveling fronts in space-time periodic media
• Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay
• Spreading speeds and traveling waves for periodic evolution systems
• Spectral theory for general nonautonomous/random dispersal evolution operators
• Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
• Biological growth and spread modeled by systems of recursions. II: Biological theory
• Nonlocal anisotropic dispersal with monostable nonlinearity
• Non-local dispersal.
• Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
• Entire solutions in the Fisher-KPP equation with nonlocal dispersal
• Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
• On the stability of waves of nonlinear parabolic systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• The behavior of solutions of some non-linear diffusion equations for large time
• Propagation speed of travelling fronts in non local reaction-diffusion equations
• The speed of propagation for KPP type problems. I: Periodic framework
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• The evolution of dispersal
• Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal
• Random dispersal vs. non-local dispersal
• On the principal eigenvalue of some nonlocal diffusion problems
• Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
• Pulsating fronts for nonlocal dispersion and KPP nonlinearity
• KPP pulsating front speed-up by flows
• Rigorous asymptotic expansions for critical wave speeds in a family of scalar reaction-diffusion equations
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle
• Asymptotic behavior for nonlocal diffusion equations
• Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
• Long-Time Behavior of a Class of Biological Models
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Non-Local dispersal and bistability
• Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
• The speed of propagation for KPP type problems. II: General domains
• Uniqueness of travelling waves for nonlocal monostable equations
• Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media
• Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats

This page was built for publication: Traveling wave solutions of periodic nonlocal Fisher-KPP equations with non-compact asymmetric kernel