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.
CITATION STYLE
Banasiak, J., & Lachowicz, M. (2014). Kinetic model of alignment. In Modeling and Simulation in Science, Engineering and Technology (Vol. 64, pp. 195–221). Springer Basel. https://doi.org/10.1007/978-3-319-05140-6_7
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