Motion of a spot in a reaction diffusion system under the influence of chemotaxis
type: Item
instance of: scholarly article
title: Motion of a spot in a reaction diffusion system under the influence of chemotaxis
zbMATH Open document ID: 1408.35083
DOI: 10.1155/2018/6152961
author: Satoshi Kawaguchi
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: We consider the motion of a spot under the influence of chemotaxis. We propose a two-component reaction diffusion system with a global coupling term and a Keller-Segel type chemotaxis term. For the system, we derive the equation of motion of the spot and the time evolution equation of the tensors. We show the existence of an upper limit for the velocity and a critical intensity for the chemotaxis, over which there is no circular motion. The chemotaxis suppresses the range of velocity for the circular motion. This braking effect on velocity originates from the refractory period behind the rear interface of the spot and the negative chemotactic velocity. The physical interpretation of the results and its plausibility are discussed.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6991989
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6152961
OpenAlex ID: W2803267327
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Wikidata QID: Q129806238
description: scientific article; zbMATH DE number 6991989