Age-Structured Population Dynamics in Demography and Epidemiology

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Author :
Publisher : Springer
ISBN 13 : 981100188X
Total Pages : 566 pages
Book Rating : 4.8/5 (11 download)

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

Download or read book Age-Structured Population Dynamics in Demography and Epidemiology written by Hisashi Inaba and published by Springer. This book was released on 2017-03-15 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Basic Approach to Age-Structured Population Dynamics

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Author :
Publisher : Springer
ISBN 13 : 9402411461
Total Pages : 357 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis The Basic Approach to Age-Structured Population Dynamics by : Mimmo Iannelli

Download or read book The Basic Approach to Age-Structured Population Dynamics written by Mimmo Iannelli and published by Springer. This book was released on 2017-08-27 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Structured Population Models in Biology and Epidemiology

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Publisher : Springer
ISBN 13 : 3540782737
Total Pages : 314 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Structured Population Models in Biology and Epidemiology by : Pierre Magal

Download or read book Structured Population Models in Biology and Epidemiology written by Pierre Magal and published by Springer. This book was released on 2008-04-12 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Structured Population Dynamics

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Author :
Publisher : SIAM
ISBN 13 : 9781611970005
Total Pages : 106 pages
Book Rating : 4.9/5 (7 download)

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Book Synopsis An Introduction to Structured Population Dynamics by : J. M. Cushing

Download or read book An Introduction to Structured Population Dynamics written by J. M. Cushing and published by SIAM. This book was released on 1998-01-01 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis and Control of Age-Dependent Population Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401594368
Total Pages : 207 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Analysis and Control of Age-Dependent Population Dynamics by : S. Anita

Download or read book Analysis and Control of Age-Dependent Population Dynamics written by S. Anita and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Primer of Population Dynamics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475789947
Total Pages : 372 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Primer of Population Dynamics by : Krishnan Namboodiri

Download or read book A Primer of Population Dynamics written by Krishnan Namboodiri and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Demography and Epidemiology of Human Health and Aging

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Publisher : Springer Science & Business Media
ISBN 13 : 9400713150
Total Pages : 993 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Demography and Epidemiology of Human Health and Aging by : Jacob S. Siegel

Download or read book The Demography and Epidemiology of Human Health and Aging written by Jacob S. Siegel and published by Springer Science & Business Media. This book was released on 2011-09-30 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Theory of Age-structured Population Dynamics

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Author :
Publisher : Giardini
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.4/5 (688 download)

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Book Synopsis Mathematical Theory of Age-structured Population Dynamics by : Mimmo Iannelli

Download or read book Mathematical Theory of Age-structured Population Dynamics written by Mimmo Iannelli and published by Giardini. This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Demography: Analysis and Synthesis, Four Volume Set

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Publisher : Academic Press
ISBN 13 : 012765660X
Total Pages : 2857 pages
Book Rating : 4.1/5 (276 download)

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Book Synopsis Demography: Analysis and Synthesis, Four Volume Set by : Graziella Caselli

Download or read book Demography: Analysis and Synthesis, Four Volume Set written by Graziella Caselli and published by Academic Press. This book was released on 2006-01-03 with total page 2857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume collection of over 140 original chapters covers virtually everything of interest to demographers, sociologists, and others. Over 100 authors present population subjects in ways that provoke thinking and lead to the creation of new perspectives, not just facts and equations to be memorized. The articles follow a theory-methods-applications approach and so offer a kind of "one-stop shop" that is well suited for students and professors who need non-technical summaries, such as political scientists, public affairs specialists, and others. Unlike shorter handbooks, Demography: Analysis and Synthesis offers a long overdue, thorough treatment of the field. Choosing the analytical method that fits the data and the situation requires insights that the authors and editors of Demography: Analysis and Synthesis have explored and developed. This extended examination of demographic tools not only seeks to explain the analytical tools themselves, but also the relationships between general population dynamics and their natural, economic, social, political, and cultural environments. Limiting themselves to human populations only, the authors and editors cover subjects that range from the core building blocks of population change--fertility, mortality, and migration--to the consequences of demographic changes in the biological and health fields, population theories and doctrines, observation systems, and the teaching of demography. The international perspectives brought to these subjects is vital for those who want an unbiased, rounded overview of these complex, multifaceted subjects. Topics to be covered: * Population Dynamics and the Relationship Between Population Growth and Structure * The Determinants of Fertility * The Determinants of Mortality * The Determinants of Migration * Historical and Geographical Determinants of Population * The Effects of Population on Health, Economics, Culture, and the Environment * Population Policies * Data Collection Methods and Teaching about Population Studies * All chapters share a common format * Each chapter features several cross-references to other chapters * Tables, charts, and other non-text features are widespread * Each chapter contains at least 30 bibliographic citations

Optimal Control of Age-structured Populations in Economy, Demography, and the Environment

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Author :
Publisher : Routledge
ISBN 13 : 1136920935
Total Pages : 321 pages
Book Rating : 4.1/5 (369 download)

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Book Synopsis Optimal Control of Age-structured Populations in Economy, Demography, and the Environment by : Raouf Boucekkine

Download or read book Optimal Control of Age-structured Populations in Economy, Demography, and the Environment written by Raouf Boucekkine and published by Routledge. This book was released on 2013-05-13 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.

Global Burden of Disease and Risk Factors

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Author :
Publisher : World Bank Publications
ISBN 13 : 0821362631
Total Pages : 511 pages
Book Rating : 4.8/5 (213 download)

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Book Synopsis Global Burden of Disease and Risk Factors by : Alan D. Lopez

Download or read book Global Burden of Disease and Risk Factors written by Alan D. Lopez and published by World Bank Publications. This book was released on 2006-04-02 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Human Demography and Disease

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Publisher : Cambridge University Press
ISBN 13 : 052162052X
Total Pages : 372 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Human Demography and Disease by : Susan Scott

Download or read book Human Demography and Disease written by Susan Scott and published by Cambridge University Press. This book was released on 1998-06-04 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated and novel approach to demographic and epidemiological studies of human populations.

A Short History of Mathematical Population Dynamics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0857291157
Total Pages : 160 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis A Short History of Mathematical Population Dynamics by : Nicolas Bacaër

Download or read book A Short History of Mathematical Population Dynamics written by Nicolas Bacaër and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Population Dynamics Based on Individual Stochasticity

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Publisher : Springer
ISBN 13 : 9789811935473
Total Pages : 0 pages
Book Rating : 4.9/5 (354 download)

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Book Synopsis Population Dynamics Based on Individual Stochasticity by : Ryo Oizumi

Download or read book Population Dynamics Based on Individual Stochasticity written by Ryo Oizumi and published by Springer. This book was released on 2022-09-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates that population structure and dynamics can be reconstructed by stochastic analysis. Population projection is usually based on age-structured population models. These models consist of age-dependent fertility and mortality, whereas birth and death processes generally arise from states of individuals. For example, a number of seeds are proportional to tree size, and amount of income and savings are the basis of decision making for birth behavior in human beings. Thus, even though individuals belong to an identical cohort, they have different fertility and mortality. To treat this kind of individual heterogeneity, stochastic state transitions are reasonable rather than the deterministic states. This book extends deterministic systems to stochastic systems specifically, constructing a state transition model represented by stochastic differential equations. The diffusion process generated by stochastic differential equations provides statistics determining population dynamics, i.e., heterogeneity is incorporated in population dynamics as its statistics. Applying this perspective to demography and evolutionary biology, we can consider the role of heterogeneity in life history or evolution. These concepts are provided to readers with explanations of stochastic analysis.

Demography

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Publisher : Oxford University Press
ISBN 13 : 0191038687
Total Pages : 158 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Demography by : Sarah Harper

Download or read book Demography written by Sarah Harper and published by Oxford University Press. This book was released on 2018-05-11 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The generation into which each person is born, the demographic composition of that cohort, and its relation to those born at the same time in other places influences not only a person's life chances, but also the economic and political structures within which that life is lived; the person's access to social and natural resources (food, water, education, jobs, sexual partners); and even the length of that person's life. Demography, literally the study of people, addresses the size, distribution, composition, and density of populations, and considers the impact the drivers which mediate these will have on both individual lives and the changing structure of human populations. This Very Short Introduction considers the way in which the global population has evolved over time and space. Sarah Harper discusses the theorists, theories, and methods involved in studying population trends and movements, before looking at the emergence of new demographic sub-disciplines and addressing some of the future population challenges of the 21st century. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Oxford Textbook of Global Public Health

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Publisher : Oxford University Press
ISBN 13 : 019881013X
Total Pages : 1717 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Oxford Textbook of Global Public Health by : Roger Detels

Download or read book Oxford Textbook of Global Public Health written by Roger Detels and published by Oxford University Press. This book was released on 2017 with total page 1717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sixth edition of the hugely successful, internationally recognised textbook on global public health and epidemiology, with 3 volumes comprehensively covering the scope, methods, and practice of the discipline

Age-structured models in population dynamics and economics

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Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Age-structured models in population dynamics and economics by : Gustav Feichtinger

Download or read book Age-structured models in population dynamics and economics written by Gustav Feichtinger and published by . This book was released on 2004 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: