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Branching processes and functional differential equations determining steady-size distributions in cell populations
Published online by Cambridge University Press: 14 July 2016
Abstract
The functional differential equation y′(x) = ay(λx) + by(x) arises in many different situations. The purpose of this note is to show how it arises in some multitype branching process cell population models. We also show how its solution can be given an intuitive interpretation as the probability density function of an infinite sum of independent but not identically distributed random variables.
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- Copyright © Applied Probability Trust 1995
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Supported by the Swedish Institute.
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