The minimal wave speed to the Lotka-Volterra competition model

DOI10.1016/j.jmaa.2020.124106zbMath1436.35064OpenAlexW3014513333MaRDI QIDQ2173794

Ya Zhou Han, Jicheng Tao, Manjun Ma, Yuanxi Yue

Publication date: 17 April 2020

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.2020.124106

zbMATH Keywords

upper and lower solution methodLotka-Volterra modellinear selectionnonlinear selection

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (6)

The minimal wave speed of the Lotka-Volterra competition model with seasonal succession ⋮ Spreading speeds and monostable waves in a reaction-diffusion model with nonlinear competition ⋮ Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case ⋮ Speed determinacy of the traveling waves for a three species time‐periodic Lotka–Volterra competition system ⋮ Traveling wave solutions for the diffusive Lotka-Volterra equations with boundary problems ⋮ Minimal-speed selection of traveling fronts to a three components lattice competition system

Cites Work

• Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
• On a conjecture raised by Yuzo Hosono
• Spreading speeds as slowest wave speeds for cooperative systems
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Propagation of frontal polymerization—crystallization waves
• Linear and Nonlinear Speed Selection for Mono-Stable Wave Propagations
• Fisher wave fronts for the Lotka-Volterra competition model with diffusion

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