We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random factor. Then, the existence and uniqueness of global solution to this system are verified. We show a result which agrees with the natural fact that under the effect of a large noise, there is no flocking. In contrast, if the noise is small, then flocking may occur. The paper ends with some numerical examples.
All Science Journal Classification (ASJC) codes
- Applied Mathematics