Group chase and escape with conversion from targets to chasers

Ryosuke Nishi, Atsushi Kamimura, Katsuhiro Nishinari and Toru Ohira

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 1, 337-342

Abstract: We study the effect of converting caught targets into new chasers in the context of the recently proposed ‘group chase and escape’ problem. Numerical simulations have shown that this conversion can substantially reduce the lifetimes of the targets when a large number of them are initially present. At the same time, it also leads to a non-monotonic dependence on the initial number of targets, resulting in the existence of a maximum lifetime. As a counter-effect for this conversion, we further introduce self-multiplying abilities to the targets. We found that the longest lifetime exists when a suitable combination of these two effects is created.

Keywords: Chase and escape; Conversion; Self-driven particles (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:1:p:337-342

DOI: 10.1016/j.physa.2011.08.010

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