Abstract
We investigate the stability of a uniform flow of self-propelled particles in a two-dimensional optimal velocity model. As an initial condition, the particles are distributed uniformly in a narrow region of the space. This condition corresponds to a migration of organisms. It is found that the uniform flow is unstable and a meandering motion appears by numerical simulations. We also show the instability exists for any values of parameters by the linear analysis. It means that there is no stable uniform flow in this model.
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