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We develop the qualitative theory of the
solutions of the McKendrick partial differential equation of
population dynamics. We calculate explicitly the weak solutions
of the McKendrick equation and of the Lotka renewal integral
equation with time and age dependent birth rate. Mortality modulus
is considered age dependent. We show the existence of demography
cycles. For a population with only one reproductive age class,
independently of the stability of the weak solutions and after a
transient time,...
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