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Group chasing tactics: how to catch a faster prey. (English) Zbl 1514.91116

Summary: We propose a bio-inspired, agent-based approach to describe the natural phenomenon of group chasing in both two and three dimensions. Using a set of local interaction rules we created a continuous-space and discrete-time model with time delay, external noise and limited acceleration. We implemented a unique collective chasing strategy, optimized its parameters and studied its properties when chasing a much faster, erratic escaper. We show that collective chasing strategies can significantly enhance the chasers’ success rate. Our realistic approach handles group chasing within closed, soft boundaries – in contrast with the periodic ones in most published literature – and resembles several properties of pursuits observed in nature, such as emergent encircling or the escaper’s zigzag motion.

MSC:

91C20 Clustering in the social and behavioral sciences
91D10 Models of societies, social and urban evolution
92B25 Biological rhythms and synchronization
34K11 Oscillation theory of functional-differential equations
92C40 Biochemistry, molecular biology

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