Deterministic Aspects Of Mathematical Demography
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Deterministic Aspects Of Mathematical Demography
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Author : J. Impagliazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Deterministic Aspects Of Mathematical Demography written by J. Impagliazzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com munity in recent years. It was not until the twentieth century, however, that the study of population, predominantly human population, achieved its math ematical character. The subject of mathematical demography can be viewed from either a deterministic viewpoint or from a stochastic viewpoint. For the sake of brevity, stochastic models are not included in this work. It is, therefore, my intention to consider only established deterministic models in this discussion, starting with the life table as the earliest model, to a generalized matrix model which is developed in this treatise. These deterministic models provide sufficient de velopment and conclusions to formulate sound mathematical population analy sis and estimates of population projections. It should be noted that although the subject of mathematical demography focuses on human populations, the development and results may be applied to any population as long as the preconditions that make the model valid are maintained. Information concerning mathematical demography is at best fragmented.
Deterministic Aspects Of Mathematical Demography
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Author : John Impagliazzo
language : en
Publisher:
Release Date : 1985-06-01
Deterministic Aspects Of Mathematical Demography written by John Impagliazzo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-06-01 with Denmark categories.
Discrete Mathematical Models In Population Biology
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Author : Saber N. Elaydi
language : en
Publisher: Springer Nature
Release Date : 2025-01-03
Discrete Mathematical Models In Population Biology written by Saber N. Elaydi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-03 with Mathematics categories.
This text lays the foundation for understanding the beauty and power of discrete-time models. It covers rich mathematical modeling landscapes, each offering deep insights into the dynamics of biological systems. A harmonious balance is achieved between theoretical principles, mathematical rigor, and practical applications. Illustrative examples, numerical simulations, and empirical case studies are provided to enhance mastery of the subject and facilitate the translation of discrete-time mathematical biology into real-world challenges. Mainly geared to upper undergraduates, the text may also be used in graduate courses focusing on discrete-time modeling. Chapters 1–4 constitute the core of the text. Instructors will find the dependence chart quite useful when designing their particular course. This invaluable resource begins with an exploration of single-species models where frameworks for discrete-time modeling are established. Competition models and Predator-prey interactions are examined next followed by evolutionary models, structured population models, and models of infectious diseases. The consequences of periodic variations, seasonal changes, and cyclic environmental factors on population dynamics and ecological interactions are investigated within the realm of periodically forced biological models. This indispensable resource is structured to support educational settings: A first course in biomathematics, introducing students to the fundamental mathematical techniques essential for biological research. A modeling course with a concentration on developing and analyzing mathematical models that encapsulate biological phenomena. An advanced mathematical biology course that offers an in-depth exploration of complex models and sophisticated mathematical frameworks designed to tackle advanced problems in biology. With its clear exposition and methodical approach, this text educates and inspires students and professionals to apply mathematical biology to real-world situations. While minimal knowledge of calculus is required, the reader should have a solid mathematical background in linear algebra.
An Introduction To Structured Population Dynamics
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Author : J. M. Cushing
language : en
Publisher: SIAM
Release Date : 1998-01-01
An Introduction To Structured Population Dynamics written by J. M. Cushing and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.
This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models.
The Basic Approach To Age Structured Population Dynamics
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Author : Mimmo Iannelli
language : en
Publisher: Springer
Release Date : 2017-08-27
The Basic Approach To Age Structured Population Dynamics written by Mimmo Iannelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-27 with Mathematics categories.
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.
Complexity Language And Life Mathematical Approaches
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Author : John L. Casti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Complexity Language And Life Mathematical Approaches written by John L. Casti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.
Mathematics In Population Biology
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Author : Horst R. Thieme
language : en
Publisher: Princeton University Press
Release Date : 2018-06-05
Mathematics In Population Biology written by Horst R. Thieme and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Science categories.
The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.
Introduction To Theoretical Population Genetics
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Author : Thomas Nagylaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
Introduction To Theoretical Population Genetics written by Thomas Nagylaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Science categories.
This book covers those areas of theoretical population genetics that can be investigated rigorously by elementary mathematical methods. I have tried to formulate the various models fairly generally and to state the biological as sumptions quite explicitly. I hope the choice and treatment of topics will en able the reader to understand and evaluate detailed analyses of many specific models and applications in the literature. Models in population genetics are highly idealized, often even over idealized, and their connection with observation is frequently remote. Further more, it is not practicable to measure the parameters and variables in these models with high accuracy. These regrettable circumstances amply justify the use of appropriate, lucid, and rigorous approximations in the analysis of our models, and such approximations are often illuminating even when exact solu tions are available. However, our empirical and theoretical limitations justify neither opaque, incomplete formulations nor unconvincing, inadequate analy ses, for these may produce uninterpretable, misleading, or erroneous results. Intuition is a principal source of ideas for the construction and investigation of models, but it can replace neither clear formulation nor careful analysis. Fisher (1930; 1958, pp. x, 23-24, 38) not only espoused similar ideas, but he recognized also that our concepts of intuition and rigor must evolve in time. The book is neither a review of the literature nor a compendium of results. The material is almost entirely self-contained. The first eight chapters are a thoroughly revised and greatly extended version of my published lecture notes (Nagylaki, 1977a).
Demography
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Author : Jay Weinstein
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2015-10-29
Demography written by Jay Weinstein and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-29 with Social Science categories.
This comprehensive, introductory text takes an applied, interdisciplinary approach. Because one author is a sociologist and the other a demographer, the text introduces perspectives from many different disciplines. The most applied book on the market, Demography: The Science of Population teaches students how to use the multitude of demographic resources available to them as consumers of data. Using case studies throughout to illustrate key concepts in a realistic and concrete manner, the authors also draw examples from recent U.S. Census data, United Nations and World Bank reports, tables from the National Center for Health Statistics, and other U.S. state- and county-level sources. New to the Second Edition This second edition is divided into four main parts; each part begins with a short introduction, and all chapters include end-of-chapter summaries. All tables, related narrative, and graphics have been updated to include data from the 2000 and 2010 census counts, more recent estimates for the United States—especially the American Community Survey—and comparable new data from international sources (e.g. World Bank, Population Research Bureau World Data Sheet). Several new figures have been added throughout the text. Part I: An Overview of Population Science, introduces the field of demography and provides a summary of its subject matter. The chapters in this part have been reorganized to reflect changes in the discipline. Chapter 1 now includes a new “the study of populations” section, a shorter Chapter 2 covers population size, and its former discussion of structure has been moved to Chapter 3. This de-emphasizes the history of population science to some extent and increases emphasis on population size as the key demographic variable. Chapter 4 presents the main principles and analytical techniques associated with the three “static” characteristics of populations: size, structure, and geographic distribution. Part II: Population Dynamics: Vital Events and Growth, reflects the wealth of data and analytical techniques now available from The U.S. Centers for Disease Control and Prevention (CDC) and its “Wonder” utility. The first three chapters focus on the vital events of birth, death, and migration. The final chapter in this part brings this material together in a discussion of population growth: its measurement, its history, and current related policy concerns. Part III: Population Models, introduces the principles of life table analysis, population estimation, and projection. This material has been simplified and updated. Chapter 9, The Life Table: An Introduction, has been revised to accord with the new federal alignment for vital statistics between the CDC and National Institute for Health Statistics. Life tables from non-U.S. sources are increased in number and in detailed functions. Part IV: Demography in Application, provides overviews of population policy, the environment, and demographic resources, along with a brief postscript on population in the larger scheme of things. What appeared as two appendices in the first edition, one on the history of population policy and one on tourism as a type of international migration, have been combined to create a new Chapter 14. The end-of-chapter material has been shortened and now contains a summary, key terms, and notes. A full-color enhanced eText is also available, and the second edition is accompanied by a teaching and learning package, including instructor’s manual, test bank, lecture slides, and a companion website that offers students additional resources, flashcards, and self-study quizzes.
Proceedings Of The First International Conference On Difference Equations
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Author : John R. Graef
language : en
Publisher: CRC Press
Release Date : 1995-12-01
Proceedings Of The First International Conference On Difference Equations written by John R. Graef and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-01 with Mathematics categories.
The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. Initially published in 2005.