
Gender-Structured Population Modeling
Mathematical Methods, Numerics, and Simulations
Society for Industrial and Applied Mathematics (SIAM) (Publisher)
Published on 1. April 2005
Book
Paperback/Softback
184 pages
978-0-89871-577-4 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
Philadelphia
United States
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 11 mm
Weight
345 gr
ISBN-13
978-0-89871-577-4 (9780898715774)
Schweitzer Classification
Content
Preface; 1. Historical perspective of mathematical demography; 2. Gender structure and the problem of modeling marriages; 3. Well-posedness of the Fredrickson-Hoppensteadt two-sex model; 4. Numerical methods; 5. Age profiles and exponential growth; Appendix; Bibliography; Index.