Random motion with gamma-distributed alternating velocities in biological modeling

Details Random motion with gamma-distributed alternating velocities in biological modeling Random motion with gamma-distributed alternating velocities in biological modeling

2008-03-07

arxiv.org/abs/0803.1067v1

Mathematics

Probability

9 pages, 2 figures. appeared in: R. Moreno-Diaz et al. (Eds.) EUROCAST 2007, Lecture Notes in Computer Science, Vol. 4739, pp.

Scientific paper

Motivated by applications in mathematical biology concerning randomly
alternating motion of micro-organisms, we analyze a generalized integrated
telegraph process. The random times between consecutive velocity reversals are
gamma-distributed, and perform an alternating renewal process. We obtain the
probability law and the mean of the process.

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