Understanding environment-influenced swarm behavior from a social force perspective

The relevant research on swarm behavior has focused on the facts that when individuals agree with other members in the system globally consistent behaviors are generated and that individual decisions are completely dominated by other members. In fact, when individuals generate their own behavior strategies, they tend to consider not only the influences of other members but also autonomically consider their current environment. For example, in the social foraging of flocks, the behavior strategy of each individual animal is influenced by the food distribution, and individual movement patterns are characterized by a highly efficient search strategy—Lévy walks. To investigate this, this paper proposes using an environment-driven social force perspective to explore the Lévy walks of individuals in a group in patchy food environments. This model adopts the concept of social force to quantify the social effects and the interactions between individuals and food. The coordination between forces is a key in the formation of individual behavior strategies. Our simulation results show a power-law frequency distribution for agent flight lengths that conforms to Lévy walks and verifies the hypothesis of a relationship between food density and the Lévy index. In our model, the flock still exhibits collective consistency and cohesion and yields a high value for the order parameter and population density when moving between food patches. In addition, our model explains the intraspecific cooperation and competition that occurs during foraging as proposed in related work. The simulation also validates the impact of two inducements for individual behaviors compared with several benchmark models.