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.
Work performed under partial support by MIUR (PRIN 2005), G.N.C.S.-INdAM and Regione Campania.
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Di Crescenzo, A., Martinucci, B. (2007). Random Motion with Gamma-Distributed Alternating Velocities in Biological Modeling. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_21
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DOI: https://doi.org/10.1007/978-3-540-75867-9_21
Publisher Name: Springer, Berlin, Heidelberg
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