Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession

DOI10.3934/dcdsb.2016.21.591zbMath1328.35099OpenAlexW2524927338MaRDI QIDQ896631

Xiao-Qiang Zhao, Manjun Ma

Publication date: 10 December 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.591

zbMATH Keywords

periodic traveling wavesminimal wave speedlinear determinacyspreading speedreaction and diffusionseasonal succession

Mathematics Subject Classification ID

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

Related Items (9)

HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP ⋮ The minimal wave speed of the Lotka-Volterra competition model with seasonal succession ⋮ Traveling waves and spreading speeds for time-space periodic monotone systems ⋮ Dynamics for a diffusive competition model with seasonal succession and different free boundaries ⋮ The nonlocal dispersal equation with seasonal succession ⋮ A nonlocal diffusion competition model with seasonal succession and free boundaries ⋮ Determining spreading speeds for abstract time-periodic monotone semiflows ⋮ The bistable wave speed in a reaction-diffusion system with seasonal succession ⋮ Traveling waves and spreading properties for a reaction-diffusion competition model with seasonal succession*

Cites Work

• A Lotka-Volterra competition model with seasonal succession
• A periodic epidemic model in a patchy environment
• Spreading speeds and traveling waves for periodic evolution systems
• Spreading speed and linear determinacy for two-species competition models
• Analysis of linear determinacy for spread in cooperative models
• The diffusive logistic model with a free boundary and seasonal succession
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Spatiotemporal Distributions of Migratory Birds: Patchy Models with Delay
• Bistable travelling waves for a reaction and diffusion model with seasonal succession
• Traveling Waves for Monotone Semiflows with Weak Compactness

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