Optimizing the encounter rate in biological interactions: Lévy versus Brownian strategies.

@article{Bartumeus2002OptimizingTE,
  title={Optimizing the encounter rate in biological interactions: L{\'e}vy versus Brownian strategies.},
  author={Frederic Bartumeus and J. Catal{\'a}n and Umberto L. Fulco and Marcelo L. Lyra and Gandhimohan M. Viswanathan},
  journal={Physical review letters},
  year={2002},
  volume={88 9},
  pages={097901}
}
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… CONTINUE READING
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