Stability of traveling waves to the Lotka-Volterra competition model

DOI10.1155/2019/6569520zbMath1417.35205OpenAlexW2907110154MaRDI QIDQ2424708

Ahmad Alhasanat, Chunhua Ou

Publication date: 25 June 2019

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6569520

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (3)

Existence, uniqueness and stability of forced waves to the Lotka‐Volterra competition system in a shifting environment ⋮ Speed selection for a Lotka-Volterra competitive system with local vs. nonlocal diffusions ⋮ Propagation dynamics of forced pulsating waves of a time periodic Lotka-Volterra competition system in a shifting habitat

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations
• Global asymptotic stability of minimal fronts in monostable lattice equations
• Stability of traveling waves with criticals speeds for \(P\)-degree Fisher-type equations
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• Propagating fronts for competing species equations with diffusion
• A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
• On the nonlinear dynamics of travelling fronts
• On the stability of waves of nonlinear parabolic systems
• Multidimensional nonlinear diffusion arising in population genetics
• The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.
• Existence and asymptotic of traveling wave fronts for the delayed Volterra-type cooperative system with spatial diffusion
• On a conjecture raised by Yuzo Hosono
• Spreading speed and linear determinacy for two-species competition models
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Nonlinear stability of traveling wave fronts for delayed reaction diffusion systems
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
• Spreading speeds as slowest wave speeds for cooperative systems
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Nonlinear stability of travelling wave fronts for delayed reaction diffusion equations
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
• A Note on the Asymptotic Behavior of Solutions of the KPP Equation
• Local stability of critical fronts in nonlinear parabolic partial differential equations
• Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
• Front Propagation in Heterogeneous Media
• Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
• Fisher wave fronts for the Lotka-Volterra competition model with diffusion
• The existence of travelling plane waves in a general class of competition-diffusion systems
• Existence and Stability of Traveling Waves in Buffered Systems
• Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
• Problem on minimum wave speed for a Lotka-Volterra reaction-diffusion competition model

This page was built for publication: Stability of traveling waves to the Lotka-Volterra competition model