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<p>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.</p>

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Mathematical Demography

  • 期刊论文

  • 发表日期：

    2025年7月2日

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  • Arni S. R. Srinivasa Rao

摘要

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.