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

By Hisashi Inaba

This publication is the 1st one during which easy demographic types are conscientiously formulated through the use of glossy age-structured inhabitants dynamics, prolonged to review real-world inhabitants difficulties. Age constitution is an important think about realizing inhabitants phenomena, and the fundamental principles in demography and epidemiology can't be understood with no mathematical formula; consequently, this publication supplies readers a strong mathematical advent to human inhabitants experiences. within the first a part of the quantity, classical demographic types reminiscent of the solid inhabitants version and its linear extensions, density-dependent nonlinear versions, and pair-formation types are formulated via the McKendrick partial differential equation and are analyzed from a dynamical approach viewpoint. within the moment half, mathematical versions for infectious ailments spreading on the inhabitants point are tested through the use of nonlinear differential equations and a renewal equation. due to the fact that a pandemic should be noticeable as a nonlinear renewal means of an contaminated inhabitants, this booklet will supply a ordinary unification standpoint for demography and epidemiology. the well known epidemic threshold precept is formulated by way of the fundamental copy quantity, that is additionally a most vital key index in demography. the writer develops a common idea of the elemental copy quantity in heterogeneous environments. through introducing the host age constitution, epidemic versions are built into extra lifelike 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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