Mathematical Demography: Theory and Modeling
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Beschreibung
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.
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.
Offers a comprehensive understanding of theoretical and formal mathematical demography and human population dynamics Discusses recent developments in stable and stationary populations: Euler–Lotka population equations and life tables Derives PDE models of single population dynamics, McKendrick von Foerster models and Okubo’s diffusion models
Autor*in
Arni S.R. Srinivasa Rao
Themen in »Mathematical Demography: Theory and Modeling«
mathematical demography mathematical modeling Euler-Lotka's equations life table partial differential equations McKendrick von Foerster equations Lotka-Volterra equations Kermack-McKendrick equations Rao's partition theorems stochastic and deterministic models population integral equation population dynamics population stability stationary population Markov process