
2005  xvi + 175 pages  Softcover  ISBN: 9780898715774 / List Price $72.50  SIAM Member Price $50.75  Order Code FR31
GenderStructured Population Modeling: Mathematical Methods, Numerics, and Simulations 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 twosex models with different forms of the marriage functionÑthe basis of couple formationÑand discuss which of these forms might make a better choice for a particular population (the United States). The book also provides results on model analysis, gives an uptodate 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 modelsÑthe equivalent of creating discrete simulatorsÑare 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.
Audience
This book is an excellent reference for demographers as well as graduate students and mathematicians interested in population dynamics, and is a great source for further research on the subject.
Contents
List of Figures; List of Tables; Preface; Chapter 1: Historical Perspective of Mathematical Demography; Chapter 2: Gender Structure and the Problem of Modeling Marriages; Chapter 3: WellPosedness of the FredricksonÐHoppensteadt TwoSex Model; Chapter 4: Numerical Methods; Chapter 5: Age Profiles and Exponential Growth; Appendix: The Main Algorithm; Bibliography; Index.
ISBN: 9780898715774