Dynamics of flocking models with two species

Abstract

This article studies the flocking behavior of self-organized agents in two species. First, referring to the work of Olfati-Saber and the classical Cucker-Smale model, we establish a discrete system describing the flocking dynamic of the agents in two species. Second, by using the LaSalle's invariance principle, we show that the system with global interaction will achieve unconditional time-asymptotic flocking, and thesystem with local interaction has a time-asymptotic flocking under certain  assumptions.Moreover, we investigate the local asymptotic stability of a class of flocking solutions. Finally, some numerical simulations and qualitative results are presented. For more information see https://ejde.math.txstate.edu/Volumes/2021/104/abstr.html