The stability of traveling wave solutions for a diffusive competition system of three species

DOI10.1016/j.jmaa.2017.10.013zbMath1379.35052OpenAlexW2765183487MaRDI QIDQ1684734

Chueh-Hsin Chang

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.013

zbMATH Keywords

Lotka-Volterracompetition-diffusion systemmonotone traveling wavemethod of super- and subsolutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07)

Related Items (3)

Stability of traveling wavefronts for a discrete diffusive competition system with three species ⋮ Speed determinacy of travelling waves for a three-component lattice Lotka–Volterra competition system ⋮ Stability of traveling wavefronts for a 2D lattice dynamical system arising in a diffusive population model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-exact equilibrium solutions for three-species competition-diffusion systems
• The minimal speed of traveling wave solutions for a diffusive three species competition system
• Traveling wave solutions of competitive-cooperative Lotka-Volterra systems of three species
• Exact travelling wave solutions of three-species competition-diffusion systems
• Erratum to ``Traveling wave fronts of reaction-diffusion systems with delays [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]
• Geometric theory of semilinear parabolic equations
• On the nonlinear dynamics of travelling fronts
• Nonmonotone waves in a three species reaction-diffusion model
• A 3-component system of competition and diffusion
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Stability of monotone travelling waves for competition-diffusion equations
• Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities
• Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
• Local stability of critical fronts in nonlinear parabolic partial differential equations
• Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
• Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
• Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem

This page was built for publication: The stability of traveling wave solutions for a diffusive competition system of three species