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Biometrika 1962 49(1-2):272-276; doi:10.1093/biomet/49.1-2.272
© 1962 by Biometrika Trust
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Miscellanea

The extinction of a bacterial colony by phages: a branching process with deterministic removals

J. GANI

Australian National University

This paper discusses two simple branching models for the extinction of a bacterial colony infected by phages. Their treatment by discrete time Markov chain methods does not appear to lead to simple explicit solutions. However, for one of the branching models a genorating function method yields direct solutions for the probabilities of first extinction of the colony, as well as the probability of i survivals. The probability of eventual extinction of the bacteria is considered, and the paper concludes with extensions of the previous results to the case of unequal and random time intervals.


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