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.

Random motion with gamma-distributed alternating velocities in biological modeling

DI CRESCENZO, Antonio;MARTINUCCI, BARBARA
2007-01-01

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1712317
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