Active walker models for complex systems

Active walker model for the formation of human and animal trail systems

“…Active walker models have proved their versatility in a variety of applications, such as formation of complex structures [36][37][38][39][40][41][42], pattern formation in physico-chemical systems [43][44][45][46], aggregation in biological [47,48] or urban [49] systems, and generation of directed motion [50,51]. The approach provides a quite stable and fast numerical algorithm for simulating processes involving large density gradients, and it is applicable also in cases where only small particle numbers govern the structure formation.…”

Modeling the Growth of Transportation Networks: A Comprehensive Review

“…Lam and Pochy (1993) and Lam (1995) proposed an active-walker model (AWM) to describe the dynamics of a landscape, in which walkers as agents moving on a landscape change the landscape according to some rule and update the landscape at every time step. Helbing et al (1997) adopted the active walker model to simulate the emergence of trails in urban green spaces shaped by pedestrian motion.…”

Self-assembling of networks in an agent-based model

“…In addition to the Browian agent model, other agent-based approaches have been developed based on physical principles, which focus on particular aspects of the complex agent behavior. We just mention here active walker models [6,19,20,21,22], where a potential can be locally changed by the walker, or active Brownian particles [14,18] that deal also with the energetic aspects of active motion. With respect to specific biological phenomena, there are the communicating walker model used in the study of complex patterning of bacterial colonies [23], or the bions model used in the study of amoebae aggregation [24], or the many models of self-driven particles to describe swarming behavior [25,26,27,28].…”