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On the Weak Solutions of the McKendrick Equation: Existence of Demography Cycles

R. DilãoA. Lakmeche — 2010

Mathematical Modelling of Natural Phenomena

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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