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Titlebook: Age-Structured Population Dynamics in Demography and Epidemiology; Hisashi Inaba Book 2017 Springer Science+Business Media Singapore 2017

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期刊全称Age-Structured Population Dynamics in Demography and Epidemiology
影响因子2023Hisashi Inaba
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发行地址Is the first attempt to give a comprehensive, rigorous formulation of the basic demographic models.Analyzes structured epidemic models from the demographic point of view as the renewal process of indi
图书封面Titlebook: Age-Structured Population Dynamics in Demography and Epidemiology;  Hisashi Inaba Book 2017 Springer Science+Business Media Singapore 2017
影响因子This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the b
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978-981-10-9098-1Springer Science+Business Media Singapore 2017
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Classical Limits and Critical Propertiessentially one-sex models that neglect the process of . between the sexes. In reality, the mating chances depend on the existence of the other sex. It is not self-evident why persistent population growth, as observed in the real world, is possible under this model of pair formation between the sexes.
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