Lévy Processes, Saltatory Foraging, and Superdiffusion

DOI10.1051/mmnp:2008060zbMath1337.92171OpenAlexW2147742300MaRDI QIDQ2786669

Paul D. Baxter, J. F. Burrow, Jonathan William Pitchford

Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008060

zbMATH Keywords

hitting timepower lawPareto distributionjump-diffusionLévy walkfish larvae

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Inference from spatial processes (62M30) Population dynamics (general) (92D25) Other physical applications of random processes (60K40)

Related Items (7)

Applications of Search in Biology: Some Open Problems ⋮ Metaplex Networks: Influence of the Exo-Endo Structure of Complex Systems on Diffusion ⋮ Space-fractional Fokker–Planck equation and optimization of random search processes in the presence of an external bias ⋮ Efficient or inaccurate? Analytical and numerical modelling of random search strategies ⋮ Numerical continuation for fractional PDEs: sharp teeth and bloated snakes ⋮ Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévy-type noises ⋮ Collective dynamics in the Vicsek and vectorial network models beyond uniform additive noise

Cites Work

• Unnamed Item
• Prey patchiness, predator survival and fish recruitment
• Double barrier hitting time distributions with applications to exotic options
• A hitting time for Lévy processes, with application to dams and branching processes
• Lévy Processes and Stochastic Calculus
• Lévy flights search patterns of biological organisms

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