Spreading speeds and monostable waves in a reaction-diffusion model with nonlinear competition

DOI10.1016/j.jmaa.2022.126077zbMath1491.92100OpenAlexW4211244975MaRDI QIDQ2668935

Qi-Ming Zhang, Manjun Ma, Ya Zhou Han, Wim T. van Horssen

Publication date: 9 March 2022

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.2022.126077

zbMATH Keywords

Lotka-Volterra modelminimal wave speedspreading speedlinear selectioncubic competition

Mathematics Subject Classification ID

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

Related Items (1)

Global exponential stability of bistable traveling waves in a reaction-diffusion system with cubic nonlinearity

Cites Work

• Uniform bounds for strongly competing systems: the optimal Lipschitz case
• Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
• Analysis of linear determinacy for spread in cooperative models
• Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
• The minimal wave speed to the Lotka-Volterra competition model
• The effect of random dispersal on competitive exclusion - a review
• Selection mechanism of the minimal wave speed to the Lotka-Volterra competition model
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• Bistable wave speed of the Lotka-Volterra competition model
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Traveling Waves for Monotone Semiflows with Weak Compactness
• Global Models of Growth and Competition
• Speed of the traveling wave for the bistable Lotka–Volterra competition model

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