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

By Hisashi Inaba

ISBN-10: 9811001871

ISBN-13: 9789811001871

This booklet is the 1st one within which easy demographic versions are conscientiously formulated by utilizing glossy age-structured inhabitants dynamics, prolonged to review real-world inhabitants difficulties. Age constitution is an important consider figuring out inhabitants phenomena, and the basic principles in demography and epidemiology can't be understood with out mathematical formula; hence, this booklet provides readers a strong mathematical creation to human inhabitants reviews. within the first a part of the amount, classical demographic versions similar to the good inhabitants version and its linear extensions, density-dependent nonlinear types, and pair-formation types are formulated by means of the McKendrick partial differential equation and are analyzed from a dynamical process viewpoint. within the moment half, mathematical versions for infectious illnesses spreading on the inhabitants point are tested by utilizing nonlinear differential equations and a renewal equation. seeing that a scourge should be noticeable as a nonlinear renewal technique of an contaminated inhabitants, this booklet will offer a common unification perspective for demography and epidemiology. the well known epidemic threshold precept is formulated through the fundamental copy quantity, that's additionally a most vital key index in demography. the writer develops a common thought of the fundamental copy quantity in heterogeneous environments. via introducing the host age constitution, epidemic types are constructed into extra real looking demographic formulations, that are primarily had to assault pressing epidemiological keep an eye on difficulties within the genuine world.

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

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