We propose models describing the collective dynamics of two opposing groups of individuals with stochastic communication. Individuals from the same group are assumed to align in a stochastic manner, while individuals from different groups are assumed to anti-align. Under reasonable assumptions, we prove the large time behavior of separation, in the sense that the variation inside a group is much less than the distance between the two groups. The separation phenomena are verified by numerical simulations.
@article{arxiv.1907.05566,
title = {Collective dynamics of opposing groups with stochastic communication},
author = {Shi Jin and Ruiwen Shu},
journal= {arXiv preprint arXiv:1907.05566},
year = {2019}
}