Age-Structured Population Dynamics in Demography and - download pdf or read online

By Hisashi Inaba

ISBN-10: 9811001871

ISBN-13: 9789811001871

This ebook is the 1st one during which easy demographic types are conscientiously formulated through the use of smooth age-structured inhabitants dynamics, prolonged to check real-world inhabitants difficulties. Age constitution is an important consider knowing inhabitants phenomena, and the basic rules in demography and epidemiology can't be understood with no mathematical formula; accordingly, this e-book supplies readers a strong mathematical creation to human inhabitants reports. within the first a part of the quantity, classical demographic types reminiscent of the sturdy inhabitants version and its linear extensions, density-dependent nonlinear types, and pair-formation versions are formulated through the McKendrick partial differential equation and are analyzed from a dynamical process perspective. within the moment half, mathematical types for infectious ailments spreading on the inhabitants point are tested by utilizing nonlinear differential equations and a renewal equation. in view that a virus could be noticeable as a nonlinear renewal means of an contaminated inhabitants, this e-book will offer a ordinary unification perspective for demography and epidemiology. the well known epidemic threshold precept is formulated via the elemental replica quantity, that is additionally a most vital key index in demography. the writer develops a common concept of the elemental replica quantity in heterogeneous environments. through introducing the host age constitution, epidemic versions are constructed into extra reasonable demographic formulations, that are primarily had to assault pressing epidemiological regulate difficulties within the actual world.

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

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