Stacked invasion waves in a competition-diffusion model with three species
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Publication:2214702
DOI10.1016/j.jde.2020.09.008zbMath1454.35216arXiv1910.04217OpenAlexW3023596863WikidataQ111492346 ScholiaQ111492346MaRDI QIDQ2214702
Qian Liu, Shuang Liu, King-Yeung Lam
Publication date: 10 December 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04217
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
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Cites Work
- Spatial propagation for a two component reaction-diffusion system arising in population dynamics
- A maximum principle for diffusive Lotka-Volterra systems of two competing species
- Convergence to generalized transition waves for some Holling-Tanner prey-predator reaction-diffusion system
- Asymptotic spreading of a three dimensional Lotka-Volterra cooperative-competitive system
- The minimal speed of traveling wave solutions for a diffusive three species competition system
- Traveling waves in a three species competition-cooperation system
- Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems
- Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model
- Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
- Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
- Biological growth and spread modeled by systems of recursions. I: Mathematical theory
- Spreading speeds for a partially cooperative 2-species reaction-diffusion model
- Limit theorems for large deviations and reaction-diffusion equations
- Wavefront propagation for reaction-diffusion systems of PDE
- A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to Shape-from-Shading problems
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
- Multiple invasion speeds in a two-species integro-difference competition model
- Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries
- Spreading speed and linear determinacy for two-species competition models
- Invasion entire solutions for a three species competition-diffusion system
- Entire solutions of diffusive Lotka-Volterra system
- Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
- Spreading speed in a farmers and hunter-gatherers model arising from Neolithic transition in Europe
- Stacked invasion waves in a competition-diffusion model with three species
- Asymptotic spreading of interacting species with multiple fronts. I: A geometric optics approach
- Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
- The effect of competition on the neutral intraspecific diversity of invasive species
- Spreading speeds as slowest wave speeds for cooperative systems
- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton–Jacobi Equations and Applications
- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
- Stacked Fronts for Cooperative Systems with Equal Diffusion Coefficients
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
- On existence and uniqueness of solutions of Hamilton-Jacobi equations
- Discontinuous solutions of deterministic optimal stopping time problems
- Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves
- Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior
- Fisher wave fronts for the Lotka-Volterra competition model with diffusion
- Asymptotic spreading of competition diffusion systems: The role of interspecific competitions
- Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species
- Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems
- Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations
- Accelerated Fronts in a Two-Stage Invasion Process
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Problem on minimum wave speed for a Lotka-Volterra reaction-diffusion competition model
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- Unnamed Item