Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.3, pp.717-727

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.3, pp.717-727

State Variable Methods for Demographic Analysis: A Mathematical Theory of Physiological Regeneration and Aging
K.Manton and I.Akushevich

A non-linear state space model of human birth death processes is presented based upon a generalization of the (Fokker-Kolmogorov-Planck) F-K-P diffusion equation. In the model it is assumed that males and females are linked through the birth process and that birth and fetal growth, itself possibly described by a F-K-P equation, generates new probability mass in the population state space. This gives us unified dyadic equations to describe changes in human population health and size.
Key words: births, deaths, Fokker-Kolmogorov-Planck equation, diffusion, chaotic system, quadratic forms, and risk factors

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