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Lévy flights search patterns of biological organisms

Author

Listed:
  • Viswanathan, G.M
  • Afanasyev, V
  • Buldyrev, Sergey V
  • Havlin, Shlomo
  • da Luz, M.G.E
  • Raposo, E.P
  • Stanley, H.Eugene

Abstract

We discuss recent findings suggesting that an inverse square probability density distribution P(ℓ)∼ℓ−2 of step lengths ℓ leads to an optimal random search strategy for organisms that can search efficiently for randomly located objects that can only be detected in the limited vicinity of the searcher and can be revisited any number of times. We explore the extent to which these findings may be dependent on the dimensionality of the search space and the presence of short-range correlations in the step lengths and directions.

Suggested Citation

  • Viswanathan, G.M & Afanasyev, V & Buldyrev, Sergey V & Havlin, Shlomo & da Luz, M.G.E & Raposo, E.P & Stanley, H.Eugene, 2001. "Lévy flights search patterns of biological organisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 85-88.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:85-88
    DOI: 10.1016/S0378-4371(01)00057-7
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    Cited by:

    1. Lee, S.-H. & Bardunias, P. & Su, N.-Y., 2008. "Two strategies for optimizing the food encounter rate of termite tunnels simulated by a lattice model," Ecological Modelling, Elsevier, vol. 213(3), pages 381-388.
    2. Qianqian Liu & Qun Wang, 2017. "A comparative study on uncooperative search models in survivor search and rescue," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 89(2), pages 843-857, November.
    3. Sepideh Bazazi & Frederic Bartumeus & Joseph J Hale & Iain D Couzin, 2012. "Intermittent Motion in Desert Locusts: Behavioural Complexity in Simple Environments," PLOS Computational Biology, Public Library of Science, vol. 8(5), pages 1-10, May.

    More about this item

    Keywords

    Lévy flights; Biological foraging;

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