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Texts in Applied Mathematics Ser.: Mathematical Models in Population Biology and Epidemiology by Carlos Castillo-Chavez and Fred Brauer (2011, Hardcover)

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About this product

Product Identifiers

PublisherSpringer New York

ISBN-10146141685X

ISBN-139781461416852

eBay Product ID (ePID)4038367194

Product Key Features

Number of PagesXxiv, 508 Pages

Publication NameMathematical Models in Population Biology and Epidemiology

LanguageEnglish

Publication Year2011

SubjectLife Sciences / Ecology, Life Sciences / Biology, Epidemiology, Applied

TypeTextbook

AuthorCarlos Castillo-Chavez, Fred Brauer

Subject AreaMathematics, Science, Medical

SeriesTexts in Applied Mathematics Ser.

FormatHardcover

Dimensions

Item Weight33.8 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2011-941355

Dewey Edition23

Series Volume Number40

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal577.88015118

Table Of ContentPart I: Simple Single-Species Models. 1. Continuous population models. 2. Discrete population models. 3. Continuous single-species population models with delay.- Part II: Models for Interacting Species. 4. Introduction and mathematical preliminaries. 5. Continuous models for two interacting populations. 6. Harvesting in two-species population models. 7. Multi-species population models.- Part III: Structured Population Models. 8. Models for population with age structure. 9. Models for populations with spatial distribution.

SynopsisThis book is an introduction to the principles and practice of mathematical modeling in the biological sciences, concentrating on applications in population biology, epidemiology, and resource management. The core of the book covers models in these areas and the mathematics useful in analyzing them, including case studies representing real-life situations. The emphasis throughout is on describing the mathematical results and showing students how to apply them to biological problems while highlighting some modeling strategies. A large number and variety of examples, exercises, and projects are included. Additional ideas and information may be found on a web site associated with the book. Senior undergraduates and graduate students as well as scientists in the biological and mathematical sciences will find this book useful. Carlos Castillo-Chavez is professor of biomathematics in the departments of biometrics, statistics, and theoretical and applied mechanics at Cornell University and a member of the graduate fields of applied mathematics, ecology and evolutionary biology, and epidemiology. H is the recepient of numerous awards including two White House Awards (1992 and 1997) and QEM Giant in Space Mentoring Award (2000). Fred Brauer is a Professor Emeritus of Mathematics at the University id Wisconsin, where he taught from 1960 to 1999, and has also been an Honorary Professor of Mathematics at the University of British Columbia since 1997., This book is an introduction to the principles and practice of mathematical modeling in the biological sciences, concentrating on applications in population biology, epidemiology, and resource management. The core of the book covers models in these areas and the mathematics useful in analyzing them, including case studies representing real-life situations. The emphasis throughout is on describing the mathematical results and showing students how to apply them to biological problems while highlighting some modeling strategies. A large number and variety of examples, exercises, and projects are included. Additional ideas and information may be found on a web site associated with the book.Senior undergraduates and graduate students as well as scientists in the biological and mathematical sciences will find this book useful.Carlos Castillo-Chavez is professor of biomathematics in the departments of biometrics, statistics, and theoretical and applied mechanics at Cornell University and a member of the graduate fields of applied mathematics, ecology and evolutionary biology, and epidemiology. H is the recepient of numerous awards including two White House Awards (1992 and 1997) and QEM Giant in Space Mentoring Award (2000).Fred Brauer is a Professor Emeritus of Mathematics at the University id Wisconsin, where he taught from 1960 to 1999, and has also been an Honorary Professor of Mathematics at the University of British Columbia since 1997., This book balances theory and application in the use of mathemathical models for addressing questions in epidemiology and population studies. This latest revised edition makes extensive use of both examples and exercise problems throughout the text., This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases. It integrates modeling, mathematics, and applications in a semi-rigorous way, stating theoretical results and giving references but not necessarily giving detailed proofs, providing a solid introduction to the field to undergraduates (junior and senior level), graduate students in applied mathematics, ecology, epidemiology or evolutionary biology, sustainability scientists, and to researchers who must routinely read the practical and theoretical results that come from modeling in ecology and epidemiology. This new edition has been updated throughout. In particular the chapters on epidemiology have been updated and extended considerably, and there is a new chapter on spatially structured populations that incorporates dispersal.The number of problems has been increased and the number of projects has more than doubled, in particular those stressing connections to data. In addition some examples, exercises, and projects include use of Maple and Matlab. Review of first edition: "A strength of the book is the large number of biologically-motivated problem sets. These and the references to the original biological papers would be valuable resources for an instructor." (UK Nonlinear News, 2001), As the world population exceeds the six billion mark, questions of population explosion, or how many people the earth can support, and under which conditions, become pressing. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing questions such as these. This book, which will include both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.

LC Classification NumberQH323.5