Mathematical Theories Of Populations

Author : Frank. Hoppensteadt
Publisher : SIAM
Page : 79 pages
File Size : 47,8 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 : Frank Charles Hoppensteadt
Publisher : Unknown
Page : 72 pages
File Size : 49,9 Mb
Release : 1975
Category : Electronic
ISBN : OCLC:256220046

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Mathematical Theories of populations by Frank Charles Hoppensteadt Pdf

Author : Institute of Mathematics and Its Applications,Institute of Biology
Publisher : Unknown
Page : 368 pages
File Size : 49,9 Mb
Release : 1973
Category : Science
ISBN : UCSD:31822012974580

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The Mathematical Theory of the Dynamics of Biological Populations by Institute of Mathematics and Its Applications,Institute of Biology Pdf

Author : Nicolas Bacaër
Publisher : Springer Science & Business Media
Page : 160 pages
File Size : 54,8 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 : Mimmo Iannelli
Publisher : Giardini
Page : 196 pages
File Size : 42,5 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 : J. M. Cushing
Publisher : SIAM
Page : 106 pages
File Size : 42,9 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 : David P. Smith,Nathan Keyfitz
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 43,9 Mb
Release : 2013-07-23
Category : Social Science
ISBN : 9783642358586

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Mathematical Demography by David P. Smith,Nathan Keyfitz Pdf

Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.

Author : J. Impagliazzo
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642823190

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Deterministic Aspects of Mathematical Demography by J. Impagliazzo Pdf

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.

Author : Mimmo Iannelli,Fabio Milner
Publisher : Springer
Page : 350 pages
File Size : 51,8 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 : Warren J. Ewens
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 47,9 Mb
Release : 2012-10-01
Category : Science
ISBN : 9780387218229

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Mathematical Population Genetics 1 by Warren J. Ewens Pdf

This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.

Author : Glenn F. Webb
Publisher : CRC Press
Page : 312 pages
File Size : 54,9 Mb
Release : 1985-01-05
Category : Mathematics
ISBN : 0824772903

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Theory of Nonlinear Age-Dependent Population Dynamics by Glenn F. Webb Pdf

Author : M. S. Bartlett,R. W. Hiorns
Publisher : Unknown
Page : 347 pages
File Size : 53,5 Mb
Release : 1974
Category : Animal populations
ISBN : OCLC:217184185

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The Mathematical Theory of the Dynamics of Biological Populations by M. S. Bartlett,R. W. Hiorns Pdf

Author : Nathan Keyfitz,Hal Caswell
Publisher : Springer
Page : 558 pages
File Size : 45,7 Mb
Release : 2006-03-30
Category : Social Science
ISBN : 9780387274096

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Applied Mathematical Demography by Nathan Keyfitz,Hal Caswell Pdf

Focuses on applications of demographic models. This book introduces the life table to describe age-specific mortality, and uses it to develop theory for stable populations and the rate of population increase. This theory is then revisited in the context of matrix models, for stage-classified as well as age-classified populations.

Author : M. Iannelli,M. Martcheva,F. A. Milner
Publisher : SIAM
Page : 186 pages
File Size : 50,8 Mb
Release : 2005-04-01
Category : Mathematics
ISBN : 9780898715774

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Gender-structured Population Modeling by M. Iannelli,M. Martcheva,F. A. Milner Pdf

This book gives a unified presentation of, and mathematical framework for, modeling population growth by couple formation, summarizing both past and present modeling results. It provides results on model analysis, gives an up-to-date review of mathematical demography, discusses numerical methods, and puts deterministic modeling of human populations into historical perspective.

Author : Alfred J. Lotka
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 42,7 Mb
Release : 2013-06-29
Category : Social Science
ISBN : 9781475791761

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Analytical Theory of Biological Populations by Alfred J. Lotka Pdf

In the 50 years that have passed since Alfred Latka's death in 1949 his position as the father of mathematical demography has been secure. With his first demographic papers in 1907 and 1911 (the latter co authored with F. R. Sharpe) he laid the foundations for stable population theory, and over the next decades both largely completed it and found convenient mathematical approximations that gave it practical applica tions. Since his time, the field has moved in several directions he did not foresee, but in the main it is still his. Despite Latka's stature, however, the reader still needs to hunt through the old journals to locate his principal works. As yet no exten sive collections of his papers are in print, and for his part he never as sembled his contributions into a single volume in English. He did so in French, in the two part Theorie Analytique des Associations Biologiques (1934, 1939). Drawing on his Elements of Physical Biology (1925) and most of his mathematical papers, Latka offered French readers insights into his biological thought and a concise and mathematically accessible summary of what he called recent contributions in demographic analy sis. We would be accurate in also calling it Latka's contributions in demographic analysis.