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A sufficient criterion for particles performing a diffusive motion with state-dependent death rate to die with probability one

Published online by Cambridge University Press:  01 July 2016

Wolfgang Mergenthaler
Wolfgang Mergenthaler*
Affiliation:
Strahlenbiologisches Institut der Universität München
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Abstract

We consider an individual which performs a diffusive motion in a certain state space and dies according to a state-dependent death rate. An integral equation for the survival probability is derived, and finally a sufficient criterion for the existence of an initial state is given, for which the corresponding individual dies with probability one.

Keywords

STATE DEPENDENT MORTALITY RATEDIFFUSIONSURVIVAL PROBABILITY
Type
Research Article
Information
Advances in Applied Probability , Volume 11 , Issue 3 , September 1979 , pp. 510 - 526
Copyright
Copyright © Applied Probability Trust 1979 

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