[MS01] Delay differential equations in mathematical biology and life sciences

[MS01-01] Flocking estimates for Cucker-Smale models with time delay, communication failures and non-universal interaction

*Elisa Continelli¹, Chiara Cicolani², Cristina Pignotti² (1. University of Padova (Italy), 2. University of L'Aquila (Italy))

Keywords:

Time delay,Cucker-Smale model,Asymptotic flocking

We deal with Cucker-Smale type models with time delay, non-universal interaction and possible lack of connection. Namely, we consider the situation in which the agents involved in a flocking process are not linked to all the other components of the system and also agents that are generally able to exchange information among themselves can suspend their interaction at certain times. To handle the non-universal interaction, a graph topology over the model structure has to be considered. Under a so-called Persistence Excitation Condition, we establish the unconditional exponential flocking for the considered Cucker-Smale model, provided that the digraph describing the interaction among the agents is strongly connected.