Hyperbolic random walks
Many individuals have a clearly defined direction of motion, and this direction of motion affects their interaction with others. Fish, for example, tend do align their body axis with those of their neighbours in large schools. Hyperbolic random walks track the location and direction of individuals as they move across a landscape.
Select References:
F. Lutscher, T. Hillen (2021) Correlated random walks in heterogeneous landscapes: Derivation, homogenization, and invasion fronts. AIMS Mathematics 6(8): 8920-8948