Mathematical demography theory and modeling Arni S.R. Srinivasa Rao

Format:

Book

Author/Creator:

Srinivasa Rao, Arni S. R., author.

Series:

Mathematical marvels: texts and monographs in the spirit of CR Rao 3005-1975

Language:

English

Subjects (All):

Mathematical models.

Demography--Mathematical models.

Demography.

Physical Description:

1 online resource

Place of Publication:

Singapore Springer [2026]

System Details:

text file PDF

Summary:

This textbook is written with the intention of providing the essentials of foundational training in modeling, both mathematical and stochastic. It offers a comprehensive understanding of theoretical and formal mathematical demography and human population dynamics. Presented in an engaging, clear and concise manner, it aims to outline traditional material and recent advancements in the field, specifically tailored for both beginners and professionals. Separate chapters discuss classical as well as recent developments in stable and stationary populations, such as Euler-Lotka population equations, and life tables. Partial differential equations models of single population dynamics, McKendrick von Foerster models of population growth and Okubo's diffusion models are derived. Population ecology models like the Lotka-Volterra two-population framework, Kermack-McKendrick three-population models, and their stability analysis foundations are succinctly explained. Recent advancements in stationary population theories and newer population stability principles developed are included. The book also includes two chapters on stochastic process models in demography. The content of the book is not only accessible and relevant to students and researchers in mathematical demography but also to those working in actuarial science, ecology, statistics and mathematical modeling

Contents:

Euler-Lotka Population Integral Equations

PDE Models in Population Dynamics

Life Table

Classical and Newer Measures of Population Stability

Mathematics of Stationary Populations

Markov Process Models in Demography

Branching Process

Multiple Decrement Table

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed June 26, 2026)

Other Format:

Print version Srinivasa Rao, Arni S. R. Mathematical Demography: Theory and Modeling

ISBN:

9789819561292

9819561299

OCLC:

1600225532