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The Resource A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day

A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day

Label
A biologist's guide to mathematical modeling in ecology and evolution
Title
A biologist's guide to mathematical modeling in ecology and evolution
Statement of responsibility
Sarah P. Otto and Troy Day
Creator
Contributor
Subject
Language
eng
Summary
"Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists"--Publisher description
Awards note
Association of American Publishers PROSE Award, 2007
Cataloging source
DLC
http://library.link/vocab/creatorDate
1967-
http://library.link/vocab/creatorName
Otto, Sarah P.
Illustrations
  • illustrations
  • maps
Index
index present
LC call number
QH541.15.M3
LC item number
O88 2007
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1968-
http://library.link/vocab/relatedWorkOrContributorName
Day, Troy
http://library.link/vocab/subjectName
  • Ecology
  • Evolution (Biology)
  • Ecology
  • Evolution (Biology)
  • Evolution
  • Mathematisches Modell
  • Ökologie
  • Evolution
  • Mathematisches Modell
  • Ökologie
Label
A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Mathematical modeling in biology -- How to construct a model -- Deriving classic models in ecology and evolutionary biology -- Primer 1: Functions and approximations -- Numerical and graphical techniques -- developing a feeling for your model -- Equilibria and stability analyses -- one-variable models -- General solutions and transformations -- one-variable models -- Primer 2: Linear algebra -- Equilibria and stability analyses -- linear models with multiple variables -- Equilibria and stability analyses -- nonlinear models with multiple variables -- General solutions and tranformations -- models with multiple variables -- Dynamics of class-structured populations -- Techniques for analyzing models with periodic behavior -- Evolutionary invasion analysis -- Primer 3: Probability theory -- Probabilistic models -- Analyzing discrete stochastic models -- Analyzing continuous stochastic models -- diffusion in time and space -- Epilogue: The art of mathematical modeling in biology -- Appendices: 1. Commonly used mathematical rules -- 2. Some important rules from calculus -- 3. Perron-Frobenius theorem -- 4. Finding maxima and minima of functions -- 5. Moment-generating functions
Control code
65065577
Dimensions
26 cm
Extent
x, 732 pages
Isbn
9780691123448
Lccn
2006044774
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9780691123448
Other physical details
illustrations, map
Specific material designation
regular print
System control number
(OCoLC)65065577
Label
A biologist's guide to mathematical modeling in ecology and evolution, Sarah P. Otto and Troy Day
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Mathematical modeling in biology -- How to construct a model -- Deriving classic models in ecology and evolutionary biology -- Primer 1: Functions and approximations -- Numerical and graphical techniques -- developing a feeling for your model -- Equilibria and stability analyses -- one-variable models -- General solutions and transformations -- one-variable models -- Primer 2: Linear algebra -- Equilibria and stability analyses -- linear models with multiple variables -- Equilibria and stability analyses -- nonlinear models with multiple variables -- General solutions and tranformations -- models with multiple variables -- Dynamics of class-structured populations -- Techniques for analyzing models with periodic behavior -- Evolutionary invasion analysis -- Primer 3: Probability theory -- Probabilistic models -- Analyzing discrete stochastic models -- Analyzing continuous stochastic models -- diffusion in time and space -- Epilogue: The art of mathematical modeling in biology -- Appendices: 1. Commonly used mathematical rules -- 2. Some important rules from calculus -- 3. Perron-Frobenius theorem -- 4. Finding maxima and minima of functions -- 5. Moment-generating functions
Control code
65065577
Dimensions
26 cm
Extent
x, 732 pages
Isbn
9780691123448
Lccn
2006044774
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9780691123448
Other physical details
illustrations, map
Specific material designation
regular print
System control number
(OCoLC)65065577

Library Locations

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      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
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