New PDF release: Age-Structured Population Dynamics in Demography and

By Hisashi Inaba

ISBN-10: 9811001871

ISBN-13: 9789811001871

This e-book is the 1st one within which easy demographic types are conscientiously formulated through the use of smooth age-structured inhabitants dynamics, prolonged to review real-world inhabitants difficulties. Age constitution is a vital think about knowing inhabitants phenomena, and the basic rules in demography and epidemiology can't be understood with no mathematical formula; hence, this e-book supplies readers a strong mathematical creation to human inhabitants reports. within the first a part of the quantity, classical demographic types comparable to the solid inhabitants version and its linear extensions, density-dependent nonlinear versions, and pair-formation types are formulated by way of the McKendrick partial differential equation and are analyzed from a dynamical procedure perspective. within the moment half, mathematical versions for infectious ailments spreading on the inhabitants point are tested by utilizing nonlinear differential equations and a renewal equation. considering the fact that a plague will be visible as a nonlinear renewal technique of an contaminated inhabitants, this publication will supply a ordinary unification viewpoint for demography and epidemiology. the well known epidemic threshold precept is formulated via the elemental replica quantity, that's additionally a most vital key index in demography. the writer develops a common conception of the fundamental copy quantity in heterogeneous environments. through introducing the host age constitution, epidemic types are built into extra lifelike demographic formulations, that are basically had to assault pressing epidemiological regulate difficulties within the genuine world.

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

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