Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays

We analyze the flocking behavior of a Cucker-Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.