Mathematical Models in Population Biology and Epidemiology

Author: Fred Brauer,Carlos Castillo-Chavez

Publisher: Springer Science & Business Media

ISBN: 1475735162

Category: Science

Page: 417

View: 5006

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 on population biology. 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 will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Partielle Differentialgleichungen und numerische Methoden

Author: Stig Larsson,Vidar Thomee

Publisher: Springer-Verlag

ISBN: 3540274227

Category: Mathematics

Page: 272

View: 2325

Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Kompendium Systembiologie

Mathematische Modellierung und Modellanalyse

Author: Andreas Kremling

Publisher: Springer-Verlag

ISBN: 3834886076

Category: Science

Page: 300

View: 4957

Das Buch beschreibt die Grundlagen der mathematischen Modellierung zellulärer Systeme. Nach einer Klassifikation von Modellen wird schwerpunktmäßig auf deterministische Modelle eingegangen und für alle relevanten zellulären Prozesse entsprechende Gleichungen angegeben. Anschließend werden eine Reihe von Verfahren zur Modellanalyse vorgestellt. Etwas kürzer werden Verfahren zum Reverse Engineering und zur Analyse von Netzwerkgraphen abgehandelt. Am Ende werden noch Verfahren der Parameteridentifikation besprochen.

Structured Population Models in Biology and Epidemiology

Author: Pierre Magal,Shigui Ruan

Publisher: Springer

ISBN: 3540782737

Category: Mathematics

Page: 302

View: 7486

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Modeling and Simulation

Author: Hartmut Bossel

Publisher: Springer-Verlag

ISBN: 3663108228

Category: Technology & Engineering

Page: 484

View: 3546

This book is the the English Language Version of the very successful German textbook, "Modellbildung und Simulation". It provides a self-contained and complete guide to the methods and mathematical background of modeling and simulation software of dynamic systems. Furthermore, an appropriate simulation software and a collection of dynamic system models (on the accompanying disk) are highlights of the book/software-Package.Dies ist die englischsprachige Ausgabe des sehr erfolgreichen Lehrbuches "Modellbildung und Simulation". Geboten wird eine vollständige Einführung in die Methoden der Simulation dynamischer Systeme, wobei auch der notwendige mathematische Hintergrund vermittelt wird. Außerdem ist eine Simulationssoftware Bestandteil des Werkes; auf der beiliegenden Diskette befinden sich ferner 50 Beispielsysteme ("Systemzoo"), die zur spielerischen Einübung der verwendeten Verfahren hilfreich sind.

Mathematische Modellierung

Author: Christof Eck,Harald Garcke,Peter Knabner

Publisher: Springer-Verlag

ISBN: 3662543354

Category: Mathematics

Page: 515

View: 5698

Das Lehrbuch bietet eine lebendige und anschauliche Einführung in die mathematische Modellierung von Phänomenen aus den Natur- und Ingenieurwissenschaften. Leser lernen, mathematische Modelle zu verstehen und selbst herzuleiten und finden eine Fülle von Beispielen, u. a. aus den Bereichen chemische Reaktionskinetik, Populationsdynamik, Strömungsdynamik, Elastizitätstheorie und Kristallwachstum. Die Methoden der Linearen Algebra, der Analysis und der Theorie der gewöhnlichen und partiellen Differentialgleichungen werden sorgfältig eingeführt.

Differential Equations Models in Biology, Epidemiology and Ecology

Proceedings of a Conference held in Claremont California, January 13–16, 1990

Author: Stavros Busenberg,Mario Martelli

Publisher: Springer Science & Business Media

ISBN: 3642456928

Category: Mathematics

Page: 267

View: 9954

The past forty years have been the stage for the maturation of mathematical biolo~ as a scientific field. The foundations laid by the pioneers of the field during the first half of this century have been combined with advances in ap plied mathematics and the computational sciences to create a vibrant area of scientific research with established research journals, professional societies, deep subspecialty areas, and graduate education programs. Mathematical biology is by its very nature cross-disciplinary, and research papers appear in mathemat ics, biology and other scientific journals, as well as in the specialty journals devoted to mathematical and theoretical biology. Multiple author papers are common, and so are collaborations between individuals who have academic bases in different traditional departments. Those who seek to keep abreast of current trends and problems need to interact with research workers from a much broader spectrum of fields than is common in the traditional mono-culture disciplines. Consequently, it is beneficial to have occasions which bring together significant numbers of workers in this field in a forum that encourages the exchange of ideas and which leads to a timely publication of the work that is presented. Such an occasion occurred during January 13 to 16, 1990 when almost two hun dred research workers participated in an international conference on Differential Equations and Applications to Biology and Population Dynamics which was held in Claremont.

Mathematical Epidemiology

Author: Fred Brauer,Pauline van den Driessche,J. Wu

Publisher: Springer Science & Business Media

ISBN: 3540789103

Category: Medical

Page: 414

View: 8296

Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (


Author: Colin R. Townsend,Michael Begon,John L. Harper

Publisher: Springer-Verlag

ISBN: 3662440784

Category: Science

Page: 622

View: 617

Diese Softcover-Ausgabe, die ein unveränderter Nachdruck der 2. Auflage (2009) ist, hält das nachgefragte Lehrbuch weiterhin verfügbar. Moderne Ökologie von A bis Z Das renommierte Autorenteam Townsend, Begon und Harper konzentriert sich in diesem Lehrbuch auf die wesentlichen Zusammenhänge in der Ökologie. In anschaulicher, durchgehend vierfarbig gestalteter und leicht verständlicher Form wird ein ausgewogener Überblick vermittelt, der die terrestrische und aquatische Ökologie gleichermaßen berücksichtigt. Für den Praxisbezug wurde großes Gewicht auf die angewandten Aspekte gelegt. Zahlreiche didaktische Elemente und großzügige, farbige Illustrationen erleichtern den Zugang. Es gibt Schlüsselkonzepte am Kapitelanfang, "Fenster" für historische Einschübe, mathematische Hintergründe und ethische Fragen, Zusammenfassungen und Fragen am Kapitelende. Neu in dieser Auflage ist ein eigenes Kapitel zur Evolutionsökologie. Alle anderen Kapitel – insbesondere die zu den angewandte Aspekten – wurden intensiv überarbeitet und hunderte neue Beispiele aufgenommen. Klar und einfach erklärt in diesem Buch.

Modelling Biological Populations in Space and Time

Author: Eric Renshaw

Publisher: Cambridge University Press

ISBN: 9780521448550

Category: Mathematics

Page: 403

View: 6759

This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.

Medical Informatics

Knowledge Management and Data Mining in Biomedicine

Author: Hsinchun Chen,Sherrilynne S. Fuller,Carol Friedman,William Hersh

Publisher: Springer Science & Business Media

ISBN: 9780387243818

Category: Medical

Page: 648

View: 7049

Comprehensively presents the foundations and leading application research in medical informatics/biomedicine. The concepts and techniques are illustrated with detailed case studies. Authors are widely recognized professors and researchers in Schools of Medicine and Information Systems from the University of Arizona, University of Washington, Columbia University, and Oregon Health & Science University. Related Springer title, Shortliffe: Medical Informatics, has sold over 8000 copies The title will be positioned at the upper division and graduate level Medical Informatics course and a reference work for practitioners in the field.

Integrated Population Biology and Modeling

Author: N.A

Publisher: Elsevier

ISBN: 044464153X

Category: Mathematics

Page: 653

View: 1670

Integrated Population Biology and Modeling: Part B, Volume 40, offers very delicately complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics, with this updated release focusing on Prey-predator animal models, Back projections, Evolutionary Biology computations, Population biology of collective behavior and bio patchiness, Collective behavior, Population biology through data science, Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology, Population Dynamics of Manipur, Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance, Theories of Stationary Populations and association with life lived and life left, and more. Studies human and animal models that are studied both separately and throughout chapters Presents a comprehensive and timely update on integrated population biology

Epidemic Models

Their Structure and Relation to Data

Author: Denis Mollison

Publisher: Cambridge University Press

ISBN: 9780521475365

Category: Mathematics

Page: 424

View: 6099

The problems of understanding and controlling disease present a range of mathematical challenges, from broad theoretical issues to specific practical ones, making epidemiology one of the most vibrant branches of applied ecology. Progress in this field requires interdisciplinary collaboration; leading researchers with a wide range of mathematical expertise and close involvement in applied fields across the social, medical and biological sciences came together for a NATO Advanced Research Workshop marking the opening of a six-month programme on Epidemic Models at the Newton Institute in Cambridge in 1993. This volume is a result of that collaboration and surveys the state of epidemic modelling at the time in relation to basic aims such as understanding, prediction, and evaluation and implementation of control strategies.

Mathematical Models for the Growth of Human Populations

Author: J. H. Pollard

Publisher: Cambridge University Press

ISBN: 9780521201117

Category: Social Science

Page: 198

View: 9392

First published in 1973, this book gives an account of some of the more important models which have been proposed for studying the growth of human populations, with a particular emphasis on stochastic models. Despite the practical importance of the subject, at the time of original publication there had been little connection between these models and their possible applications. The book drew together, for the first time, the theoretical analysis of the mathematician and the practical problems of the actuary. Exercises are set at the end of each chapter and brief solutions appear at the back of the text. This book will be of value to anyone with an interest mathematical models and statistics.

Das egoistische Gen

Mit einem Vorwort von Wolfgang Wickler

Author: Richard Dawkins

Publisher: Springer-Verlag

ISBN: 3642553915

Category: Science

Page: 489

View: 6509

p”Ein auch heute noch bedeutsamer Klassiker“ Daily Express Sind wir Marionetten unserer Gene? Nach Richard Dawkins ́ vor über 30 Jahren entworfener und heute noch immer provozierender These steuern und dirigieren unsere von Generation zu Generation weitergegebenen Gene uns, um sich selbst zu erhalten. Alle biologischen Organismen dienen somit vor allem dem Überleben und der Unsterblichkeit der Erbanlagen und sind letztlich nur die "Einweg-Behälter" der "egoistischen" Gene. Sind wir Menschen also unserem Gen-Schicksal hilflos ausgeliefert? Dawkins bestreitet dies und macht uns Hoffnung: Seiner Meinung nach sind wir nämlich die einzige Spezies mit der Chance, gegen ihr genetisches Schicksal anzukämpfen.

Dynamical Models in Biology

Author: Miklós Farkas

Publisher: Academic Press

ISBN: 9780080530604

Category: Mathematics

Page: 187

View: 6905

Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: Chaotic dynamics of populations The spread of sexually transmitted diseases Problems of the origin of life Models of immunology Formation of animal hide patterns The intuitive meaning of mathematical formulae explained with many figures Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. A 'down-to-earth' introduction to the growing field of modern mathematical biology Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra

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

Author: Harkaran Singh,Joydip Dhar

Publisher: CRC Press

ISBN: 1351251686

Category: Mathematics

Page: 274

View: 8070

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.

Der Zombie Survival Guide

Überleben unter Untoten

Author: Max Brooks

Publisher: Goldmann Verlag

ISBN: 364108248X

Category: Fiction

Page: 320

View: 2223

Zombies sind längst unter uns. Ein Grund mehr, vorbereitet zu sein! Der Zombie Survival Guide ist der Schlüssel zur erfolgreichen Abwehr von Untoten, die eine ständige Bedrohung für den Menschen darstellen. Mittels hilfreicher Illustrationen und umfassender Informationen deckt dieser Überlebensführer das ganze Spektrum möglicher Angriffs- und Abwehrtechniken ab. Er gibt Ratschläge zu zombiesicherem Wohnen, erläutert Physiologie und typische Verhaltensmuster von Zombies und beschreibt die wichtigsten Utensilien im Kampf gegen diese hinterhältigen Gegner.