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Viser: Mathematical Models in Population Biology and Epidemiology

Mathematical Models in Population Biology and Epidemiology, 2. udgave

Mathematical Models in Population Biology and Epidemiology Vital Source e-bog

Fred Brauer og Carlos Castillo-Chavez
(2011)
Springer Nature
495,00 kr.
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Mathematical Models in Population Biology and Epidemiology, 2. udgave

Mathematical Models in Population Biology and Epidemiology

Fred Brauer og Carlos Castillo-Chavez
(2011)
Sprog: Engelsk
Springer
955,00 kr. 479,00 kr.
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Detaljer Om Varen

  • 2. Udgave
  • Vital Source leje e-bog 180 dage
  • Udgiver: Springer Nature (November 2011)
  • Forfattere: Fred Brauer og Carlos Castillo-Chavez
  • ISBN: 9781461416869R180
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.
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Detaljer Om Varen

  • 2. Udgave
  • Hardback: 528 sider
  • Udgiver: Springer (September 2011)
  • Forfattere: Fred Brauer og Carlos Castillo-Chavez
  • ISBN: 9781461416852
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.
Preface
* Ackn. * Prologue *

Part I: Simple Single-Species Models * 1 Continuous Population Models * 2 Discrete Population Models * 3 Continuous single-species Population Models with Delays *

Part II: Models for Interacting Species * 4 Introduction
and Mathematical Preliminaries * 5 Continuous models for two interacting populations * 6 Harvesting in two-species models *

Part III: Structured Population Models * 7 Basic ideas of Mathematical Epidemiology * 8 Models for population with age structure * Epilogue * Answers to selected Exercises * References
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