Motion of a spot in a reaction diffusion system under the influence of chemotaxis

DOI10.1155/2018/6152961zbMath1408.35083OpenAlexW2803267327MaRDI QIDQ1629247

Satoshi Kawaguchi

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6152961

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40)

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• Higher-dimensional localized patterns in excitable media
• Dynamics of interfaces in reaction diffusion systems
• Chemotaxis-growth under the influence of lateral inhibition in a three-component reaction–diffusion system
• Reaction–diffusion modelling of bacterial colony patterns
• Propagation Phenomena in a Bistable Reaction-Diffusion System
• Pulse dynamics in a reaction-diffusion system

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