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Gender-structured Population Modeling - Mathematical Methods, Numerics and Simulations (Paperback, Illustrated Ed)
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Gender-structured Population Modeling - Mathematical Methods, Numerics and Simulations (Paperback, Illustrated Ed)
Series: Frontiers in Applied Mathematics, No. 31
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Gender-Structured Population Modeling gives a unified presentation
of and mathematical framework for modeling population growth by
couple formation. It provides an overview of both past and present
modeling results. The authors focus on pair formation (marriage)
and two-sex models with different forms of the marriage function -
the basis of couple formation - and discuss which of these forms
might make a better choice for a particular population (the United
States). It also provides results on model analysis, gives an
up-to-date review of mathematical demography, discusses numerical
methods, and puts deterministic modeling of human populations into
historical perspective. The authors describe several models and
derive the theoretical results that demonstrate the validity of
these models. The numerical methods for approximating the solutions
of the differential models - the equivalent of creating discrete
simulators - are delineated. Simulation results are compared with
actual demographic data to show some of the difficulties concerning
the availability of data and to show that mathematical demography
provides reasonable qualitative and quantitative estimates. The
models in this book can be applied to different sets of data.
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