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Dynamics

The mathematical theory of viscous incompressible flow by O. A Ladyzhenskaia

By O. A Ladyzhenskaia

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2 Wbooping cougb Anderson and May (1982a) have also analysed, along the lines outlined above, the available data for pertussis in England and Wales between 1940 and 1979 (Fig. 10). 24), between the proportion, p, of each cohort that must be vaccinated, and the average age at vaccination, V, for eradication of an infection. The solid lines represent the boundaries between eradication (above the line) and persistence (below the line) for various values of the average age at first infection, A, in the population before the introduction of immunization.

In the last two decades, with the advent of modern computing facilities, work on the dynamics ofbacterial infections has gained momentum. ). A review of the early work on tuberculosis and chronic bacterial infections has been published by Waaler, Gesser and Anderson (1962) and a more extensive treatment of the dynamics of tuberculosis was published in 1968 (Waaler, 1968). Shortly after this, Lechat and co-workers developed a model to describe the dynamics of leprosy (Lechat, 1971). The first model of the dynamics of acute bacterial diseases was described by Cvjetanovic et al.

15 the incidence of infections such as gonorrhoea has increased substantially in many regions ofthe world over the past two decades. 28)) but are in fact changing with time. We therefore have a situation in which the equilibrium predicted by simple deterministic models is moving in time as the parameters which determine this state change. For sexually transmitted infections, it is highly probable that changes in the contact rates 5 i and 52 are responsible for the observed epidemiological trends.

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