Abstract

Consider a leaky conveyor belt moving with a constant velocity of 1 age unit/1 time unit; that is, distance along the belt corresponds to age and the movement of the belt represents the ageing process. Individuals in the population can be thought of as grains of sand on the conveyor belt. At any instant the profile of sand on the belt corresponds to an instantaneous snapshot of the age distribution, n(a,t), a = age, t = time (Fig. 1). The total number of individuals in the population at time t is the total amount of sand on the

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