Mathematics in Population Biology

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Publisher : Princeton University Press
ISBN 13 : 0691187657
Total Pages : 564 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics in Population Biology by : Horst R. Thieme

Download or read book Mathematics in Population Biology written by Horst R. Thieme and published by Princeton University Press. This book was released on 2018-06-05 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical Systems in Population Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387953540
Total Pages : 396 pages
Book Rating : 4.9/5 (535 download)

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Book Synopsis Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction by : Carlos Castillo-Chavez

Download or read book Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2002-05-02 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of the discussions and presentations that began during the Workshop on Emerging and Reemerging Diseases (May 17-21, 1999) sponsored by the Institute for Mathematics and its Application (IMA) at the University of Minnesota with the support of NIH and NSF. The workshop started with a two-day tutorial session directed at ecologists, epidemiologists, immunologists, mathematicians, and scientists interested in the study of disease dynamics. The core of this first volume, Volume 125, covers tutorial and research contributions on the use of dynamical systems (deterministic discrete, delay, PDEs, and ODEs models) and stochastic models in disease dynamics. The volume includes the study of cancer, HIV, pertussis, and tuberculosis. Beginning graduate students in applied mathematics, scientists in the natural, social, or health sciences or mathematicians who want to enter the fields of mathematical and theoretical epidemiology will find this book useful.

Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461300657
Total Pages : 375 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory by : Carlos Castillo-Chavez

Download or read book Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Math ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BI OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Math ematical and Theoretical Biology Institute and a member of the Depart ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni versity) for providing an introduction.

Mathematical Models for Communicable Diseases

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Publisher : SIAM
ISBN 13 : 1611972418
Total Pages : 279 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer

Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Differential Equations And Applications To Biology And To Industry - Proceedings Of The Claremont International Conference Dedicated To The Memory Of Starvros Busenberg (1941 - 1993)

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Publisher : World Scientific
ISBN 13 : 9814549371
Total Pages : 606 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Differential Equations And Applications To Biology And To Industry - Proceedings Of The Claremont International Conference Dedicated To The Memory Of Starvros Busenberg (1941 - 1993) by : Kenneth Cooke

Download or read book Differential Equations And Applications To Biology And To Industry - Proceedings Of The Claremont International Conference Dedicated To The Memory Of Starvros Busenberg (1941 - 1993) written by Kenneth Cooke and published by World Scientific. This book was released on 1995-12-08 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Professor Stavros Busenberg of Harvey Mudd College, who contributed so greatly to this field during 25 years prior to his untimely death. It contains about 60 invited papers by leading researchers in the areas of dynamical systems, mathematical studies in ecology, epidemics, and physiology, and industrial mathematics. Anyone interested in these areas will find much of value in these contributions.

Mathematical Models for the Dynamics of Influenza at the Population and Host Level

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Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Mathematical Models for the Dynamics of Influenza at the Population and Host Level by : Miriam Aracely Nuño

Download or read book Mathematical Models for the Dynamics of Influenza at the Population and Host Level written by Miriam Aracely Nuño and published by . This book was released on 2005 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis and Applied Mathematics

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Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Numerical Analysis and Applied Mathematics by : Theodore E. Simos

Download or read book Numerical Analysis and Applied Mathematics written by Theodore E. Simos and published by American Institute of Physics. This book was released on 2007-09-14 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains peer-reviewed papers presented at the International Conference on Numerical Analysis and Applied Mathematics 2007, ICNAAM-2007. This conference brought together leading scientists of the international Numerical and Applied Mathematics community. More than 350 papers were submitted to be considered for presentation at ICNAAM-2007. From these submissions, 189 papers were selected after an international peer review by at least two independent reviewers.

Mathematical Population Dynamics

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Publisher :
ISBN 13 : 9780920063583
Total Pages : 393 pages
Book Rating : 4.0/5 (635 download)

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Book Synopsis Mathematical Population Dynamics by : Ovide Arino

Download or read book Mathematical Population Dynamics written by Ovide Arino and published by . This book was released on 1995-01-01 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical and Statistical Estimation Approaches in Epidemiology

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Publisher : Springer Science & Business Media
ISBN 13 : 9048123135
Total Pages : 367 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mathematical and Statistical Estimation Approaches in Epidemiology by : Gerardo Chowell

Download or read book Mathematical and Statistical Estimation Approaches in Epidemiology written by Gerardo Chowell and published by Springer Science & Business Media. This book was released on 2009-06-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and Statistical Estimation Approaches in Epidemiology compiles t- oretical and practical contributions of experts in the analysis of infectious disease epidemics in a single volume. Recent collections have focused in the analyses and simulation of deterministic and stochastic models whose aim is to identify and rank epidemiological and social mechanisms responsible for disease transmission. The contributions in this volume focus on the connections between models and disease data with emphasis on the application of mathematical and statistical approaches that quantify model and data uncertainty. The book is aimed at public health experts, applied mathematicians and sci- tists in the life and social sciences, particularly graduate or advanced undergraduate students, who are interested not only in building and connecting models to data but also in applying and developing methods that quantify uncertainty in the context of infectious diseases. Chowell and Brauer open this volume with an overview of the classical disease transmission models of Kermack-McKendrick including extensions that account for increased levels of epidemiological heterogeneity. Their theoretical tour is followed by the introduction of a simple methodology for the estimation of, the basic reproduction number,R . The use of this methodology 0 is illustrated, using regional data for 1918–1919 and 1968 in uenza pandemics.

Dynamics of Cancer

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Publisher : Princeton University Press
ISBN 13 : 0691186863
Total Pages : 393 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Dynamics of Cancer by : Steven A. Frank

Download or read book Dynamics of Cancer written by Steven A. Frank and published by Princeton University Press. This book was released on 2018-06-05 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The onset of cancer presents one of the most fundamental problems in modern biology. In Dynamics of Cancer, Steven Frank produces the first comprehensive analysis of how particular genetic and environmental causes influence the age of onset. The book provides a unique conceptual and historical framework for understanding the causes of cancer and other diseases that increase with age. Using a novel quantitative framework of reliability and multistage breakdown, Frank unifies molecular, demographic, and evolutionary levels of analysis. He interprets a wide variety of observations on the age of cancer onset, the genetic and environmental causes of disease, and the organization of tissues with regard to stem cell biology and somatic mutation. Frank uses new quantitative methods to tackle some of the classic problems in cancer biology and aging: how the rate of increase in the incidence of lung cancer declines after individuals quit smoking, the distinction between the dosage of a chemical carcinogen and the time of exposure, and the role of inherited genetic variation in familial patterns of cancer. This is the only book that presents a full analysis of the age of cancer onset. It is a superb teaching tool and a rich source of ideas for new and experienced researchers. For cancer biologists, population geneticists, evolutionary biologists, and demographers interested in aging, this book provides new insight into disease progression, the inheritance of predisposition to disease, and the evolutionary processes that have shaped organismal design.

Ecological Inference

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Publisher : Cambridge University Press
ISBN 13 : 9780521542807
Total Pages : 436 pages
Book Rating : 4.5/5 (428 download)

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Book Synopsis Ecological Inference by : Gary King

Download or read book Ecological Inference written by Gary King and published by Cambridge University Press. This book was released on 2004-09-13 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon the recent explosion of research in the field, a diverse group of scholars surveys the latest strategies for solving ecological inference problems, the process of trying to infer individual behavior from aggregate data. The uncertainties and information lost in aggregation make ecological inference one of the most difficult areas of statistical inference, but these inferences are required in many academic fields, as well as by legislatures and the Courts in redistricting, marketing research by business, and policy analysis by governments. This wide-ranging collection of essays offers many fresh and important contributions to the study of ecological inference.

Survival Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727283
Total Pages : 508 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Survival Analysis by : John P. Klein

Download or read book Survival Analysis written by John P. Klein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making complex methods more accessible to applied researchers without an advanced mathematical background, the authors present the essence of new techniques available, as well as classical techniques, and apply them to data. Practical suggestions for implementing the various methods are set off in a series of practical notes at the end of each section, while technical details of the derivation of the techniques are sketched in the technical notes. This book will thus be useful for investigators who need to analyse censored or truncated life time data, and as a textbook for a graduate course in survival analysis, the only prerequisite being a standard course in statistical methodology.

Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains

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Publisher : CRC Press
ISBN 13 : 1351251694
Total Pages : 274 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains by : Harkaran Singh

Download or read book Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains written by Harkaran Singh and published by CRC Press. This book was released on 2018-12-07 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mankind now faces even more challenging environment- and health-related problems than ever before. Readily available transportation systems facilitate the swift spread of diseases as large populations migrate from one part of the world to another. Studies on the spread of the communicable diseases are very important. This book, Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains, provides a useful experimental tool for making practical predictions, building and testing theories, answering specific questions, determining sensitivities of the parameters, forming control strategies, and much more. This volume focuses on the study of population dynamics with special emphasis on the migration of populations and the spreading of epidemics among human and animal populations. It also provides the background needed to interpret, construct, and analyze a wide variety of mathematical models. Most of the techniques presented in the book can be readily applied to model other phenomena, in biology as well as in other disciplines.

Methods of Meta-Analysis

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Publisher : SAGE
ISBN 13 : 9781412904797
Total Pages : 620 pages
Book Rating : 4.9/5 (47 download)

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Book Synopsis Methods of Meta-Analysis by : John E Hunter

Download or read book Methods of Meta-Analysis written by John E Hunter and published by SAGE. This book was released on 2004-04-07 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the most important developments in meta-analysis from 1990 to 2004, this text presents new patterns in research findings as well as updated information on existing topics.

Mathematics for Life Science and Medicine

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Publisher : Springer Science & Business Media
ISBN 13 : 3540344268
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematics for Life Science and Medicine by : Yasuhiro Takeuchi

Download or read book Mathematics for Life Science and Medicine written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Foundations of Complex-system Theories

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Publisher : Cambridge University Press
ISBN 13 : 9780521778268
Total Pages : 422 pages
Book Rating : 4.7/5 (782 download)

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Book Synopsis Foundations of Complex-system Theories by : Sunny Y. Auyang

Download or read book Foundations of Complex-system Theories written by Sunny Y. Auyang and published by Cambridge University Press. This book was released on 1998 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes approaches to the study of complexity in the physical, biological, and social sciences.