Download e-book for kindle: Age-Structured Population Dynamics in Demography and by Hisashi Inaba

By Hisashi Inaba

This publication is the 1st one during which uncomplicated demographic types are carefully formulated through the use of smooth age-structured inhabitants dynamics, prolonged to review real-world inhabitants difficulties. Age constitution is an important think about realizing inhabitants phenomena, and the fundamental rules in demography and epidemiology can't be understood with out mathematical formula; for this reason, this ebook offers readers a strong mathematical advent to human inhabitants reviews. within the first a part of the amount, classical demographic types akin to the good inhabitants version and its linear extensions, density-dependent nonlinear versions, and pair-formation versions are formulated by way of the McKendrick partial differential equation and are analyzed from a dynamical method standpoint. within the moment half, mathematical versions for infectious illnesses spreading on the inhabitants point are tested through the use of nonlinear differential equations and a renewal equation. considering the fact that a virus should be visible as a nonlinear renewal strategy of an contaminated inhabitants, this publication will supply a traditional unification viewpoint for demography and epidemiology. the well known epidemic threshold precept is formulated via the elemental copy quantity, that is additionally a most vital key index in demography. the writer develops a common idea of the elemental replica quantity in heterogeneous environments. through introducing the host age constitution, epidemic types are built into extra sensible demographic formulations, that are basically had to assault pressing epidemiological keep an eye on difficulties within the actual world.

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Age-Structured Population Dynamics in Demography and Epidemiology by Hisashi Inaba

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