Time periodic traveling curved fronts in the periodic Lotka-Volterra competition-diffusion system
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Publication:1679049
DOI10.1007/s10884-015-9512-4zbMath1374.35408OpenAlexW2293171512MaRDI QIDQ1679049
Xiong-Xiong Bao, Zhi-Cheng Wang, Wang-Tong Li
Publication date: 8 November 2017
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9512-4
stabilityexistenceasymptotic behaviorsperiodic Lotka-Volterra competition-diffusion systemtime periodic traveling curved fronts
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Second-order parabolic systems (35K40) Traveling wave solutions (35C07)
Related Items (13)
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Cites Work
- Unnamed Item
- Traveling curved fronts in monotone bistable systems
- Transition waves for a class of space-time dependent monostable equations
- On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\)
- Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion
- Existence and global stability of traveling curved fronts in the Allen-Cahn equations
- Uniqueness and stability properties of monostable pulsating fronts
- Heteroclinic connections for multidimensional bistable reaction-diffusion equations
- Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity
- Wave propagation for a two-component lattice dynamical system arising in strong competition models
- Two-dimensional curved fronts in a periodic shear flow
- Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity
- Recent developments on wave propagation in 2-species competition systems
- Bistable traveling waves for monotone semiflows with applications
- Traveling wave front for a two-component lattice dynamical system arising in competition models
- Multi-dimensional traveling fronts in bistable reaction-diffusion equations
- Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
- On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry
- Traveling fronts in space-time periodic media
- Spreading speeds and traveling waves for periodic evolution systems
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- Global stability of traveling curved fronts in the Allen-Cahn equations
- Existence and nonexistence of curved front solution of a biological equation
- Bistable transition fronts in \(\mathbb{R}^N\)
- Curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media
- Spreading speeds and traveling waves for abstract monostable evolution systems
- Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation
- The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
- Existence of standing waves for competition-diffusion equations
- The sign of the wave speed for the Lotka-Volterra competition-diffusion system
- Traveling fronts of pyramidal shapes in competition-diffusion systems
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
- Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system
- Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems
- Analysis of the periodically fragmented environment model. I: Species persistence
- Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
- Existence and qualitative properties of multidimensional conical bistable fronts
- Admissible speeds of transition fronts for nonautonomous monostable equations
- Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Cylindrically symmetric travelling fronts in a periodic reaction—diffusion equation with bistable nonlinearity
- An Entire Solution to the Lotka–Volterra Competition-Diffusion Equations
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
- Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
- Existence of Nonplanar Solutions of a Simple Model of Premixed Bunsen Flames
- Front propagation in periodic excitable media
- Stability of travelling waves in a model for conical flames in two space dimensions
- On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
- Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations
- Analytic semigroups and optimal regularity in parabolic problems
- Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
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