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Group chase and escape in the presence of obstacles

Author

Listed:
  • Šćepanović, J.R.
  • Karač, A.
  • Jakšić, Z.M.
  • Budinski-Petković, Lj.
  • Vrhovac, S.B.

Abstract

We study a stochastic lattice model describing the dynamics of a group chasing and escaping between two species in an environment that contains obstacles. The Monte Carlo simulations are carried out on a two-dimensional square lattice. Obstacles are represented by non-overlapping lattice shapes that are randomly placed on the lattice. The model includes smart pursuit (chasers to targets) and evasion (targets from chasers). Both species can affect their movement by visual perception within their finite sighting range σ.

Suggested Citation

  • Šćepanović, J.R. & Karač, A. & Jakšić, Z.M. & Budinski-Petković, Lj. & Vrhovac, S.B., 2019. "Group chase and escape in the presence of obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 450-465.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:450-465
    DOI: 10.1016/j.physa.2019.03.017
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    References listed on IDEAS

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    1. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    2. Nishi, Ryosuke & Kamimura, Atsushi & Nishinari, Katsuhiro & Ohira, Toru, 2012. "Group chase and escape with conversion from targets to chasers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 337-342.
    3. V. Cornette & A. Ramirez-Pastor & F. Nieto, 2003. "Percolation of polyatomic species on a square lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 36(3), pages 391-399, December.
    4. Becco, Ch. & Vandewalle, N. & Delcourt, J. & Poncin, P., 2006. "Experimental evidences of a structural and dynamical transition in fish school," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 487-493.
    5. Wang, Huodong & Han, Wenchen & Yang, Junzhong, 2017. "Group chase and escape with sight-limited chasers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 34-39.
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    1. Šćepanović, J.R. & Jakšić, Z.M. & Budinski-Petković, Lj. & Vrhovac, S.B., 2021. "Long-term effects of abrupt environmental perturbations in model of group chase and escape with the presence of non-conservative processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).

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