Mathematical Theories Of Populations PDF Download
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Author | : Frank. Hoppensteadt |
Publisher | : SIAM |
Total Pages | : 79 |
Release | : 1975-01-01 |
Genre | : Social Science |
ISBN | : 9781611970487 |
Download Mathematical Theories of Populations Book in PDF, ePub and Kindle
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 | : |
Total Pages | : 72 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Mathematical Theories of populations Book in PDF, ePub and Kindle
Author | : Warren J. Ewens |
Publisher | : Springer Science & Business Media |
Total Pages | : 448 |
Release | : 2004-01-09 |
Genre | : Science |
ISBN | : 9780387201917 |
Download Mathematical Population Genetics 1 Book in PDF, ePub and Kindle
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 | : Nicolas Bacaër |
Publisher | : Springer Science & Business Media |
Total Pages | : 160 |
Release | : 2011-02-01 |
Genre | : Mathematics |
ISBN | : 0857291157 |
Download A Short History of Mathematical Population Dynamics Book in PDF, ePub and Kindle
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 | : Frank Hoppensteadt |
Publisher | : SIAM |
Total Pages | : 79 |
Release | : 1975-12-01 |
Genre | : Social Science |
ISBN | : 0898710170 |
Download Mathematical Theories of Populations Book in PDF, ePub and Kindle
A basic model in population age structure is studied and then applied and extended to several population phenomena.
Author | : Institute of Mathematics and Its Applications |
Publisher | : |
Total Pages | : 360 |
Release | : 1973 |
Genre | : Science |
ISBN | : |
Download The Mathematical Theory of the Dynamics of Biological Populations Book in PDF, ePub and Kindle
Author | : Mimmo Iannelli |
Publisher | : Giardini |
Total Pages | : 196 |
Release | : 1995 |
Genre | : Age distribution (Demography) |
ISBN | : |
Download Mathematical Theory of Age-structured Population Dynamics Book in PDF, ePub and Kindle
Author | : Warren J. Ewens |
Publisher | : Springer Science & Business Media |
Total Pages | : 435 |
Release | : 2012-10-01 |
Genre | : Science |
ISBN | : 038721822X |
Download Mathematical Population Genetics 1 Book in PDF, ePub and Kindle
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 | : R. Bürger |
Publisher | : John Wiley & Sons |
Total Pages | : 432 |
Release | : 2000-11-02 |
Genre | : Mathematics |
ISBN | : |
Download The Mathematical Theory of Selection, Recombination, and Mutation Book in PDF, ePub and Kindle
"It is close to being a masterpiece...could well be the classic presentation of the area." Warren J. Ewens, University of Pennsylvania, USA Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of populations. The emphasis here is on models that have a direct bearing on evolutionary quantitative genetics. Applications concerning the maintenance of genetic variation in quantitative traits and their dynamics under selection are treated in detail. * Provides a unified, self-contained and in-depth study of the theory of multilocus systems * Introduces the basic population-genetic models * Explores the dynamical and equilibrium properties of the distribution of quantitative traits under selection * Summarizes important results from more demanding sections in a comprehensible way * Employs a clear and logical presentation style Following an introduction to elementary population genetics and discussion of the general theory of selection at two or more loci, the author considers a number of mutation-selection models, and derives the dynamical equations for polygenic traits under general selective regimes. The final chapters are concerned with the maintenance of quantitative-genetic variation, the response to directional selection, the evolutionary role of deleterious mutations, and other topics. Graduate students and researchers in population genetics, evolutionary theory, and biomathematics will benefit from the in-depth coverage. This text will make an excellent reference volume for the fields of quantitative genetics, population and theoretical biology.
Author | : David P. Smith |
Publisher | : Springer Science & Business Media |
Total Pages | : 341 |
Release | : 2013-07-23 |
Genre | : Social Science |
ISBN | : 3642358586 |
Download Mathematical Demography Book in PDF, ePub and Kindle
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.