Mathematical Demography

Arni S.R. Srinivasa Rao

doi:10.1007/s13571-025-00373-z

Mathematical Demography

Arni S.R. Srinivasa Rao

Epidemiology

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we provide a detailed account of recent advancements in the field of mathematical demography combined with classical theories of stationary and stable population dynamics. The Euler-Lotka equations, and the life tables serve as the foundation of modern population analysis models. A special feature of this article is its explanation of classical Markov chain theory, birth-death processes, pure birth processes, and branching processes. We include numerous new derivations and constructed examples to effectively illustrate models and methods.

Original language	English (US)
Journal	Sankhya B
DOIs	https://doi.org/10.1007/s13571-025-00373-z
State	Accepted/In press - 2025

Keywords

Euler-Lotka’s equations
Life tables
McKendrick von Foerster equations
PDEs
Rao’s partition theorems
Stochastic and deterministic models

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1007/s13571-025-00373-z

Cite this

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AB - In this article, we provide a detailed account of recent advancements in the field of mathematical demography combined with classical theories of stationary and stable population dynamics. The Euler-Lotka equations, and the life tables serve as the foundation of modern population analysis models. A special feature of this article is its explanation of classical Markov chain theory, birth-death processes, pure birth processes, and branching processes. We include numerous new derivations and constructed examples to effectively illustrate models and methods.

KW - Euler-Lotka’s equations

KW - Life tables

KW - McKendrick von Foerster equations

KW - PDEs

KW - Rao’s partition theorems

KW - Stochastic and deterministic models

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JF - Sankhya B

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Mathematical Demography

Abstract

Keywords

ASJC Scopus subject areas

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