A Biologist's Guide to Mathematical Modeling in Ecology and Evolution /

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / / Sarah P. Otto, Troy Day.

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-ba...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
VerfasserIn:
Otto, Sarah P.,
Day, Troy,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2011]
©2007
Year of Publication:2011
Language:English
Online Access:
Physical Description:1 online resource (744 p.) :; 207 line illus. 22 tables.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1: Mathematical Modeling in Biology
  • Chapter 2: How to Construct a Model
  • Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology
  • Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model
  • Chapter 5: Equilibria and Stability Analyses-One-Variable Models
  • Chapter 6: General Solutions and Transformations-One-Variable Models
  • Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables
  • Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables
  • Chapter 9: General Solutions and Tranformations-Models with Multiple Variables
  • Chapter 10: Dynamics of Class-Structured Populations
  • Chapter 11: Techniques for Analyzing Models with Periodic Behavior
  • Chapter 12: Evolutionary Invasion Analysis
  • Chapter 13: Probabilistic Models
  • Chapter 14: Analyzing Discrete Stochastic Models
  • Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space
  • Epilogue: The Art of Mathematical Modeling in Biology
  • Appendix 1: Commonly Used Mathematical Rules
  • Appendix 2: Some Important Rules from Calculus
  • Appendix 3: The Perron-Frobenius Theorem
  • Appendix 4: Finding Maxima and Minima of Functions
  • Appendix 5: Moment-Generating Functions
  • Index of Definitions, Recipes, and Rules
  • General Index

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