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

By Hisashi Inaba

ISBN-10: 9811001871

ISBN-13: 9789811001871

This ebook is the 1st one during which simple demographic types are carefully formulated by utilizing glossy age-structured inhabitants dynamics, prolonged to review real-world inhabitants difficulties. Age constitution is a vital think about realizing inhabitants phenomena, and the fundamental rules in demography and epidemiology can't be understood with no mathematical formula; hence, this ebook offers readers a strong mathematical advent to human inhabitants stories. within the first a part of the quantity, classical demographic types comparable to the strong inhabitants version and its linear extensions, density-dependent nonlinear types, and pair-formation types are formulated by way of the McKendrick partial differential equation and are analyzed from a dynamical process viewpoint. 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. for the reason that a pandemic should be obvious as a nonlinear renewal technique of an contaminated inhabitants, this e-book will offer a ordinary unification standpoint for demography and epidemiology. the well known epidemic threshold precept is formulated through the elemental replica quantity, that's additionally a most vital key index in demography. the writer develops a common concept of the elemental replica quantity in heterogeneous environments. by means of introducing the host age constitution, epidemic versions are constructed 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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