Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
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Publication:413461
DOI10.1016/j.jde.2012.01.014zbMath1250.35061OpenAlexW2052661438MaRDI QIDQ413461
Zhi-Cheng Wang, Guo-Bao Zhang, Wang-Tong Li
Publication date: 7 May 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.014
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07)
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Cites Work
- Entire solutions in nonlocal dispersal equations with bistable nonlinearity
- Global stability of wavefronts with minimal speeds for nonlocal dispersal equations with degenerate nonlinearity
- On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
- Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
- Existence and nonexistence of traveling waves for a nonlocal monostable equation
- Spreading speeds and traveling waves for periodic evolution systems
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity
- Asymptotic behavior of traveling fronts and entire solutions for a nonlocal monostable equation
- Non-local dispersal.
- 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
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Travelling fronts in cylinders and their stability
- Traveling waves in a convolution model for phase transitions
- Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
- Spreading disease: Integro-differential equations old and new.
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Propagation speed of travelling fronts in non local reaction-diffusion equations
- Travelling fronts in cylinders
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- The evolution of dispersal
- Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure
- Asymptotic behavior for nonlocal diffusion equations
- Traveling wave solutions for a reaction diffusion equation with double degenerate nonlinearities
- 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
- The speed of propagation for KPP type problems. II: General domains
- Spatial dynamics of a periodic population model with dispersal*
- Travelling-front solutions for integro-differential equations. I.
- A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis
- Uniqueness of travelling waves for nonlocal monostable equations
- The Effect of Dispersal Patterns on Stream Populations
- Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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