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Optimizing the Encounter Rate in Biological Interactions: Lévy versus Brownian Strategies
Abstract
An important application involving two-species reaction-diffusion systems relates to the problem of finding the best statistical strategy for optimizing the encounter rate between organisms. We investigate the general problem of how the encounter rate depends on whether organisms move in Lévy or Brownian random walks. By simulating a limiting generalized searcher-target model (e.g., predator-prey, mating partner, pollinator-flower), we find that Lévy walks confer a significant advantage for increasing encounter rates when the searcher is larger or moves rapidly relative to the target, and when the target density is low.
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Citations
Cited by
Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014) · Phys. Chem. Chem. Phys. · doi:10.1039/c4cp03465a · Cited by 1,765
Lévy flights and superdiffusion in the context of biological encounters and random searches
Viswanathan, G. M., Raposo, E. P., & da Luz, M. G. E. (2008) · Physics of Life Reviews · doi:10.1016/j.plrev.2008.03.002 · Cited by 451
Self-citationBrantingham, P. J. (2006) · Current Anthropology · doi:10.1086/503062 · Cited by 111
Metadata
- Authors
- Bartumeus, F., Catalan, J., Fulco, U. L., Lyra, M. L., & Viswanathan, G. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-02-12
- Volume
- 88
- Issue
- 9
- Pages
- 097901-097901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1996326412
- Cited by
- 333
- References
- 0
- FWCI
- 1.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Optimizing the Encounter Rate in Biological Interactions: Lévy versus Brownian Strategies. https://app.cochat.ai/papers/10.1103/physrevlett.88.097901
- The paper
- Bartumeus, F., Catalan, J., Fulco, U. L., Lyra, M. L., & Viswanathan, G. M. (2002). Optimizing the Encounter Rate in Biological Interactions: Lévy versus Brownian Strategies. Physical Review Letters. https://doi.org/10.1103/physrevlett.88.097901
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
