Monotonicity, asymptotic behaviors and uniqueness of traveling waves to a nonlocal dispersal equation modeling an age-structured population
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Publication:1681001
DOI10.1016/j.nonrwa.2017.06.003zbMath1377.35054OpenAlexW2755992720MaRDI QIDQ1681001
Li Liu, Zhaoquan Xu, Pei-xuan Weng
Publication date: 17 November 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.06.003
Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system
- Asymptotic stability of non-monotone traveling waves for time-delayed nonlocal dispersion equations
- A model of spatial epidemic spread when individuals move within overlapping home ranges
- Convergence to travelling waves for quasilinear Fisher-KPP type equations
- Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
- Planar traveling waves for nonlocal dispersion equation with monostable nonlinearity
- Inside dynamics of pulled and pushed fronts
- Regular traveling waves for a nonlocal diffusion equation
- A nonlocal diffusion model of a single species with age structure
- Traveling waves in a nonlocal dispersal population model with age-structure
- Traveling waves in a convolution model with infinite distributed delay and non-monotonicity
- On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
- Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay
- Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Entire solutions in the Fisher-KPP equation with nonlocal dispersal
- Homoclinic solutions to an integral equation: Existence and stability
- Traveling waves in a convolution model for phase transitions
- Spreading disease: Integro-differential equations old and new.
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Asymptotic speeds of spread for a nonlocal diffusion equation
- Analysis of linear determinacy for spread in cooperative models
- The evolution of dispersal
- Traveling waves of a nonlocal dispersal delayed age-structured population model
- Pushed traveling fronts in monostable equations with monotone delayed reaction
- Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case
- Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays.
- Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Spatial dynamics of a periodic population model with dispersal*
- Travelling-front solutions for integro-differential equations. I.
- Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
- Extinction and wavefront propagation in a reaction-diffusion model of a structured population with distributed maturation delay
- A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
- Spatial dynamics of a lattice population model with two age classes and maturation delay
- Uniqueness of travelling waves for nonlocal monostable equations
- On the method of moving planes and the sliding method
- The Effect of Dispersal Patterns on Stream Populations
- Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats
- On a non-local equation arising in population dynamics
