Collective animal behavior is an emergent phenomenon arising from the local interactions of
the members of animal groups. Considerable progress has been made in characterizing …

The processing delay is incorporated into the influence function of the well-known Cucker–
Smale model for self-organized systems with multiple agents. Both symmetric and non …

Abstract The Travel Salesman Problem (TSP) consists in finding the minimal-length closed
tour that connects the entire group of nodes of a given graph. We propose to solve such a …

Collective dynamics in animal groups is a challenging theme for the modelling community,
being treated with a wide range of approaches. This topic is here tackled by a discrete …

Collective migration of cells and animals often relies on a specialised set of “leaders”, whose
role is to steer a population of naive followers towards some target. We formulate a …

Groups of animals coordinate remarkable, coherent, movement patterns during periods of
collective motion. Such movement patterns include the toroidal mills seen in fish shoals …

Swarming behavior in systems of self-propelled particles, whether biological or artificial, has
received increased attention in recent years. Here, we show that even a small number of …

The swarming of a bee colony is guided by a small group of scout individuals, which are
informed of the target destination (the new nest). However, little is known on the underlying …

Emergent patterns of collective motion are thought to arise from local rules of interaction that
govern how individuals adjust their velocity in response to the relative locations and …

In this article, we present a microscopic discrete mathematical model describing collective
dynamics of a bee swarm. More specifically, each bee is set to move according to individual …