Chasing behavior between a motile swarm and a motile food

A model is established to describe the chasing process between a group of agents and a quarry. In the model, the swarm is modeled based on inter-individual attraction and repulsion, that is, each individual can neither move away from the whole swarm nor get too close to other members. Moreover, two new functions revealing the interaction between the swarm and the quarry are introduced. Some numerical simulation results are presented to exhibit agents´ collective motion behaviors, which in kinetic dynamics like what happens in real world. Main parameters´ effects on chasing results are also evaluated and some simple mathematical analysis is given.