Journal of Advances in Applied Mathematics

Download PDF (606.7 KB) PP. 132 - 138 Pub. Date: April 12, 2016

DOI: 10.22606/jaam.2016.12006

• Mauricio Tejo^*
  Facultad de Ciencias Naturales y Exactas, Universidad de Playa Ancha
• Sebastian Niklitschek-Soto
  Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción

Search patterns in species can give us relevant information about abundance/lack of its food availability. This survey reviews three marked patterns: the Brownian motion, the Lévy flight and an intermediary displacement. After defining the corresponding mathematical models and some of its properties, we consider a general Euler scheme in which these kind of processes can be simulated. Finally, we discuss some possible implications and future researches.

Markov processes; Brownian motion; Lévy flight; Lévy processes; Heavy-tailed distributions; Euler scheme; Likelihood function.

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