Dynamics of flocking models with two species
Texas State University, Department of Mathematics
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 the system 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.
Flocking dynamics, Discrete model, LaSalle invariance principle, Invariant manifold
Zhao, Q., Shi, S., & Li, W. (2021). Dynamics of flocking models with two species. <i>Electronic Journal of Differential Equations, 2021</i>(104), pp. 1-24.