Models for fish schools in 1D:Adaptation in orientation and speed

In fish schools individuals adapt their orientation of movement and their speed to that of their neighbors. A model for this behavior is derived in two steps in one space dimension based on reaction transport equations.

First, the adaptation of orientation is modeled under the assumption of constant speed. The model is investigated analytically and numerically. Then speed adaptation is modeled leading to a hyperbolic/elliptic system, for which existence of solutions is shown.