April 5, 2018

Get Age-Structured Population Dynamics in Demography and PDF

By Hisashi Inaba

ISBN-10: 9811001871

ISBN-13: 9789811001871

This publication is the 1st one within which easy demographic types are carefully formulated through the use of sleek age-structured inhabitants dynamics, prolonged to check real-world inhabitants difficulties. Age constitution is a vital think about knowing inhabitants phenomena, and the basic principles in demography and epidemiology can't be understood with no mathematical formula; consequently, this ebook supplies readers a powerful mathematical advent to human inhabitants reports. within the first a part of the quantity, classical demographic versions similar to the reliable 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 method perspective. within the moment half, mathematical types for infectious illnesses spreading on the inhabitants point are tested through the use of nonlinear differential equations and a renewal equation. due to the fact a deadly disease might be visible as a nonlinear renewal means of an contaminated inhabitants, this booklet will offer a average unification standpoint for demography and epidemiology. the well known epidemic threshold precept is formulated by means of the elemental copy quantity, that's additionally a most vital key index in demography. the writer develops a common thought of the elemental replica quantity in heterogeneous environments. by means of introducing the host age constitution, epidemic versions are constructed into extra real looking demographic formulations, that are primarily 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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