Mathematical Theories Of Populations
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Mathematical Theories Of Populations
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Author : Frank. Hoppensteadt
language : en
Publisher: SIAM
Release Date : 1975-01-01
Mathematical Theories Of Populations written by Frank. Hoppensteadt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Social Science categories.
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.
Mathematical Theories Of Populations
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Author : Frank Hoppensteadt
language : en
Publisher: SIAM
Release Date : 1975-12-01
Mathematical Theories Of Populations written by Frank Hoppensteadt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-12-01 with Social Science categories.
A basic model in population age structure is studied and then applied and extended to several population phenomena.
A Short History Of Mathematical Population Dynamics
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Author : Nicolas Bacaër
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-01
A Short History Of Mathematical Population Dynamics written by Nicolas Bacaër 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 2011-02-01 with Mathematics categories.
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.
An Introduction To Mathematical Population Dynamics
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Author : Mimmo Iannelli
language : en
Publisher: Springer
Release Date : 2015-01-23
An Introduction To Mathematical 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 2015-01-23 with Mathematics categories.
This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.
Mathematical Models In Population Biology And Epidemiology
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Author : Fred Brauer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Mathematical Models In Population Biology And Epidemiology written by Fred Brauer 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 2013-03-09 with Science categories.
As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.
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.
Mathematical Population Genetics 1
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Author : Warren J. Ewens
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-09
Mathematical Population Genetics 1 written by Warren J. Ewens 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 2004-01-09 with Science categories.
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.
Mathematical Demography
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Author : David P. Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-23
Mathematical Demography written by David P. Smith 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 2013-07-23 with Social Science categories.
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.
Theories Of Populations In Biological Communities
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Author : F. B. Christiansen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theories Of Populations In Biological Communities written by F. B. Christiansen 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 Science categories.
When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.
Mathematical Methods Of Population Biology
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Author : Frank Charles Hoppensteadt
language : en
Publisher: Cambridge University Press
Release Date : 1982-02-26
Mathematical Methods Of Population Biology written by Frank Charles Hoppensteadt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-02-26 with Mathematics categories.
An introduction to mathematical methods used in the study of population phenomena including models of total population and population age structure, models of random population events presented in terms of Markov chains, and methods used to uncover qualitative behavior of more complicated difference equations.