Spreading speed and traveling wave for a reaction-diffusion system with nonlinear competition

DOI10.1016/J.JMAA.2024.128678MaRDI QIDQ6614374

Xu Li, Xue Xue Dong, Tingting Zhang, Manjun Ma

Publication date: 7 October 2024

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

zbMATH Keywords

traveling wavesminimal wave speedspreading speedlinear selectionnonlinear selection

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic spreading fastened by inter-specific coupled nonlinearities: a cooperative system
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• Biological growth and spread modeled by systems of recursions. II: Biological theory
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• The effect of random dispersal on competitive exclusion - a review
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
• Spreading speeds as slowest wave speeds for cooperative systems
• Spreading speeds and monostable waves in a reaction-diffusion model with nonlinear competition
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Traveling waves and spreading properties for a reaction-diffusion competition model with seasonal succession*
• Traveling Waves for Monotone Semiflows with Weak Compactness
• Global Models of Growth and Competition
• Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations

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