Propagation direction of the traveling wave for the Lotka-Volterra competitive lattice system
From MaRDI portal
Publication:2025693
DOI10.1007/s10884-020-09853-4zbMath1470.34040OpenAlexW3034110012MaRDI QIDQ2025693
Publication date: 14 May 2021
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-020-09853-4
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33)
Related Items
Spatial propagation for the lattice competition system in moving habitats, A time-periodic competition model with nonlocal dispersal and bistable nonlinearity: propagation dynamics and stability, Speed determinacy of the traveling waves for a three species time‐periodic Lotka–Volterra competition system, Determining spreading speeds for abstract time-periodic monotone semiflows, Spreading speeds determinacy for a cooperative Lotka-Volterra system with stacked fronts, Speed selection of wavefronts for lattice Lotka-Volterra competition system in a time periodic habitat, Propagation dynamics of forced pulsating waves of a time periodic Lotka-Volterra competition system in a shifting habitat, Speed sign of traveling waves to a competitive Lotka-Volterra recursive system with bistable nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Traveling wave solutions for a continuous and discrete diffusive predator-prey model
- Stability of traveling wavefronts for a discrete diffusive Lotka-Volterra competition system
- On sufficient conditions for a linearly determinate spreading speed
- The minimal speed of traveling fronts for the Lotka-Volterra competition system
- Wave propagation for a two-component lattice dynamical system arising in strong competition models
- Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model
- Existence of traveling wavefront for discrete bistable competition model
- Bistable traveling waves for monotone semiflows with applications
- Thresholds and travelling waves for the geographical spread of infection
- Traveling wave front for a two-component lattice dynamical system arising in competition models
- Global asymptotic stability of minimal fronts in monostable lattice equations
- Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
- Propagating fronts for competing species equations with diffusion
- The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.
- Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system
- Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
- On a conjecture raised by Yuzo Hosono
- Spreading speed and linear determinacy for two-species competition models
- Analysis of linear determinacy for spread in cooperative models
- Spreading speeds as slowest wave speeds for cooperative systems
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Modelling Biological Populations in Space and Time
- Travelling waves for diffusive and strongly competitive systems: Relative motility and invasion speed
- Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
- The existence of travelling plane waves in a general class of competition-diffusion systems
- Speed of the traveling wave for the bistable Lotka–Volterra competition model
