Author: Frank. Hoppensteadt
Publisher: SIAM
ISBN: 9781611970487
Category : Social Science
Languages : en
Pages : 79
Book Description
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
Author: Frank. Hoppensteadt
Publisher: SIAM
ISBN: 9781611970487
Category : Social Science
Languages : en
Pages : 79
Book Description
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.
Publisher: SIAM
ISBN: 9781611970487
Category : Social Science
Languages : en
Pages : 79
Book Description
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
Author: Frank Hoppensteadt
Publisher: SIAM
ISBN: 0898710170
Category : Social Science
Languages : en
Pages : 79
Book Description
A basic model in population age structure is studied and then applied and extended to several population phenomena.
Publisher: SIAM
ISBN: 0898710170
Category : Social Science
Languages : en
Pages : 79
Book Description
A basic model in population age structure is studied and then applied and extended to several population phenomena.
Mathematical Theories of populations
Author: Frank Charles Hoppensteadt
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
Book Description
The Mathematical Theory of the Dynamics of Biological Populations
Author: Institute of Mathematics and Its Applications
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 368
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 368
Book Description
Mathematical Population Genetics 1
Author: Warren J. Ewens
Publisher: Springer Science & Business Media
ISBN: 9780387201917
Category : Science
Languages : en
Pages : 448
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9780387201917
Category : Science
Languages : en
Pages : 448
Book Description
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.
A Short History of Mathematical Population Dynamics
Author: Nicolas Bacaër
Publisher: Springer Science & Business Media
ISBN: 0857291157
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0857291157
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Mathematical Theory of Age-structured Population Dynamics
Author: Mimmo Iannelli
Publisher: Giardini
ISBN:
Category : Age distribution (Demography)
Languages : en
Pages : 196
Book Description
Publisher: Giardini
ISBN:
Category : Age distribution (Demography)
Languages : en
Pages : 196
Book Description
MATHEMATICAL THEORIES OF POPULATIONS: DEMOGRAPHICS, GENETICS AND EPIDEMICS- BASED ON LECTURES FROM A NATIONAL SCIENCE FOUNDATION REGIONAL CONFERENCE- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Mathematical Population Genetics 1
Author: Warren J. Ewens
Publisher: Springer Science & Business Media
ISBN: 038721822X
Category : Science
Languages : en
Pages : 435
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 038721822X
Category : Science
Languages : en
Pages : 435
Book Description
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.
Deterministic Aspects of Mathematical Demography
Author: J. Impagliazzo
Publisher: Springer Science & Business Media
ISBN: 364282319X
Category : Mathematics
Languages : en
Pages : 195
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 364282319X
Category : Mathematics
Languages : en
Pages : 195
Book Description
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.