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Methods of Small Parameter in Mathematical BiologyKinetic Model of Alignment

Methods of Small Parameter in Mathematical Biology: Kinetic Model of Alignment [In this chapter we analyse a model which describes motion of individuals who may switch the direction of motion according to the prevalent direction of other individuals in their neighbourhood. The small parameter in this model is related to the mean time between the changes of the direction of motion. The main result of the chapter is that if this time becomes small, the population can be approximately described as a wave travelling in the direction in which the majority of the initial population moved.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Methods of Small Parameter in Mathematical BiologyKinetic Model of Alignment

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2014
ISBN
978-3-319-05139-0
Pages
195 –221
DOI
10.1007/978-3-319-05140-6_7
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter we analyse a model which describes motion of individuals who may switch the direction of motion according to the prevalent direction of other individuals in their neighbourhood. The small parameter in this model is related to the mean time between the changes of the direction of motion. The main result of the chapter is that if this time becomes small, the population can be approximately described as a wave travelling in the direction in which the majority of the initial population moved.]

Published: Mar 12, 2014

Keywords: Swarming; Kinetic model; Travelling wave

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