Random motion with gamma-distributed alternating velocities in biological modeling
classification
🧮 math.PR
keywords
alternatingprocessgamma-distributedmotionrandomanalyzeapplicationsbiological
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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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