Age Structured Population Dynamics In Demography And Epidemiology

Author : Hisashi Inaba
Publisher : Springer
Page : 555 pages
File Size : 43,8 Mb
Release : 2017-03-15
Category : Social Science
ISBN : 9789811001888

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

This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.

Author : Mimmo Iannelli,Fabio Milner
Publisher : Springer
Page : 350 pages
File Size : 52,8 Mb
Release : 2017-08-27
Category : Mathematics
ISBN : 9789402411461

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The Basic Approach to Age-Structured Population Dynamics by Mimmo Iannelli,Fabio Milner Pdf

This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.

Author : J. M. Cushing
Publisher : SIAM
Page : 106 pages
File Size : 48,5 Mb
Release : 1998-01-01
Category : Science
ISBN : 1611970008

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An Introduction to Structured Population Dynamics by J. M. Cushing Pdf

Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature.

Author : S. Anita
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 50,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401594363

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Analysis and Control of Age-Dependent Population Dynamics by S. Anita Pdf

The material of the present book is an extension of a graduate course given by the author at the University "Al.I. Cuza" Iasi and is intended for stu dents and researchers interested in the applications of optimal control and in mathematical biology. Age is one of the most important parameters in the evolution of a bi ological population. Even if for a very long period age structure has been considered only in demography, nowadays it is fundamental in epidemiology and ecology too. This is the first book devoted to the control of continuous age structured populationdynamics.It focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion. The main goal of this work is to familiarize the reader with the most important problems, approaches and results in the mathematical theory of age-dependent models. Special attention is given to optimal harvesting and to exact controllability problems, which are very important from the econom ical or ecological points of view. We use some new concepts and techniques in modern control theory such as Clarke's generalized gradient, Ekeland's variational principle, and Carleman estimates. The methods and techniques we use can be applied to other control problems.

Author : Pierre Magal,Shigui Ruan
Publisher : Springer
Page : 314 pages
File Size : 52,8 Mb
Release : 2008-04-12
Category : Mathematics
ISBN : 9783540782735

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Structured Population Models in Biology and Epidemiology by Pierre Magal,Shigui Ruan Pdf

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Author : Krishnan Namboodiri
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 41,5 Mb
Release : 2013-06-29
Category : Social Science
ISBN : 9781475789942

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A Primer of Population Dynamics by Krishnan Namboodiri Pdf

A Primer of Population Dynamics introduces to the basics of population studies. Author Krishnan Namboodiri utilizes a question-and-answer format that explores topics such as population theories and conceptual schemes, demographic data, mortality, fertility, migration, family and household, food production, and the environment and much more. Questions are accompanied by detailed explanations as well as references for additional information. An extensive index and glossary allow for easy retrieval of information. This introductory textbook is written for students studying demography, population, sociology, and public health.

Author : Jacob S. Siegel
Publisher : Springer Science & Business Media
Page : 985 pages
File Size : 54,5 Mb
Release : 2011-09-30
Category : Social Science
ISBN : 9400713150

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The Demography and Epidemiology of Human Health and Aging by Jacob S. Siegel Pdf

With this book, Siegel, an internationally known demographer and gerontologist, has made a unique contribution to the fledgling fields of health demography, and the demography and epidemiology of aging. The book represents a felicitous union of epidemiology, gerontology, and demography, and appears to be the first and only comprehensive text on this subject now available. Drawing on a wide range of sciences in addition to demography, gerontology, and epidemiology, including medical sociology, biostatistics, public policy, bioethics, and molecular biology, the author treats theoretical and applied issues, links methods and findings, covers the material internationally, nationally, and locally, and while focusing on the elderly, treats the entire life course. The methods, materials, and pespectives of demography and epidemiology are brought to bear on such topics as the prospects for future increases in human longevity, the relative contribution of life style, environment, genetics, and chance in human longevity, the measurement of the share of healthy years in total life expectancy, the role of population growth in the rising costs of health care, and the applications of health demography in serving the health needs of local communities. The separate chapters systematically develop the topics of the sources and quality of health data; mortality, life tables, and the measurement of health status; the interrelationships of health, on the one hand, and mortality, fertility, migration, and age structure, on the other; health conditions in the less developed countries; the concepts and theories of aging and projections of the aged population; and local health applications, public health policy, and bioethical issues in health demography. Given its comprehensiveness, clarity, interdisciplinary scope, and authencity, this book appeals to a wide range of users, from students and teachers of medical sociology, the demography of aging, and public health studies to practitioners in these areas, both as a text in health demography and the demography/epidemiology of aging, and as a reference work in these fields.

Author : Raj S. Bhopal
Publisher : Oxford University Press
Page : 481 pages
File Size : 44,9 Mb
Release : 2016
Category : Medical
ISBN : 9780198739685

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Concepts of Epidemiology by Raj S. Bhopal Pdf

First edition published in 2002. Second edition published in 2008.

Author : Christos H. Skiadas,Charilaos Skiadas
Publisher : Springer
Page : 355 pages
File Size : 49,7 Mb
Release : 2018-05-16
Category : Social Science
ISBN : 9783319760025

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Demography and Health Issues by Christos H. Skiadas,Charilaos Skiadas Pdf

This book provides new theories, applications and quantitative methods in demography, population studies and statistics. It presents and applies data analysis, statistics and stochastic modeling techniques focusing on demography, population aging, mortality and health sciences. The book describes diverse stochastic processes as well as Markov and semi-Markov models in demography and population studies, along with chapters on statistical models and methods in biostatistics and epidemiology. As such the book will be a valuable source to demographers, health scientists, statisticians, economists and sociologists.

Author : Nicolas Bacaër
Publisher : Springer Science & Business Media
Page : 160 pages
File Size : 45,8 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9780857291158

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A Short History of Mathematical Population Dynamics by Nicolas Bacaër Pdf

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

Author : David P. Smith
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 54,5 Mb
Release : 2013-11-11
Category : Social Science
ISBN : 9781489924650

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Formal Demography by David P. Smith Pdf

This book is intended as a relatively nontechnica1 introduction to eurrent demographie methods. It has been several years in preparation, beginning from occasional class handouts I wrote to elaborate on essential points of demographie methodology. Its growth from scattered notes to an integrated text was a natural process, if a gradual one. The eontent of the book addresses three objectives. first, I have tried to avoid demographie methods that are now dated. In some ehapters, that has meant eoncentrating on formulas most demographers recognize. In the ehap ters on life tables, it meant testing competing formulas on a variety of real and synthetie data se.ts, and dropping or relegating to footnotes those that were least accurate. Second, I have attempted to give readers a sense of the limits of different formulas and methods. I am a terse writer, however, and for the reader that means most sentences carry weight. Chapters should be read attentively, with careful regard to commentary as weIl as to formulas and examples. Finally, I have tried to make the principal methodologies of the book accessible, by offering explanations for formulas that are not obvious, by keeping examples to the forefront, and by placing relatively specialized topics in ehapter appendices.

Author : Alan D. Lopez
Publisher : World Bank Publications
Page : 511 pages
File Size : 51,7 Mb
Release : 2006-04-02
Category : Medical
ISBN : 9780821362631

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Global Burden of Disease and Risk Factors by Alan D. Lopez Pdf

Strategic health planning, the cornerstone of initiatives designed to achieve health improvement goals around the world, requires an understanding of the comparative burden of diseases and injuries, their corresponding risk factors and the likely effects of invervention options. The Global Burden of Disease framework, originally published in 1990, has been widely adopted as the preferred method for health accounting and has become the standard to guide the setting of health research priorities. This publication sets out an updated assessment of the situation, with an analysis of trends observed since 1990 and a chapter on the sensitivity of GBD estimates to various sources of uncertainty in methods and data.

Author : Mimmo Iannelli
Publisher : Giardini
Page : 196 pages
File Size : 51,5 Mb
Release : 1995
Category : Age distribution (Demography)
ISBN : CHI:46889805

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Mathematical Theory of Age-structured Population Dynamics by Mimmo Iannelli Pdf

Author : Frank. Hoppensteadt
Publisher : SIAM
Page : 79 pages
File Size : 55,5 Mb
Release : 1975-01-01
Category : Social Science
ISBN : 1611970482

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Mathematical Theories of Populations by Frank. Hoppensteadt Pdf

Mathematical theories of populations have appeared both implicitly and explicitly in many important studies of populations, human populations as well as populations of animals, cells and viruses. They provide a systematic way for studying a population's underlying structure. A basic model in population age structure is studied and then applied, extended and modified, to several population phenomena such as stable age distributions, self-limiting effects, and two-sex populations. Population genetics are studied with special attention to derivation and analysis of a model for a one-locus, two-allele trait in a large randomly mating population. The dynamics of contagious phenomena in a population are studied in the context of epidemic diseases.

Author : Xue-Zhi Li,Junyuan Yang,Maia Martcheva
Publisher : Springer Nature
Page : 386 pages
File Size : 43,6 Mb
Release : 2020-05-28
Category : Mathematics
ISBN : 9783030424961

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Age Structured Epidemic Modeling by Xue-Zhi Li,Junyuan Yang,Maia Martcheva Pdf

This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.