Mathematical Models in Population Biology and Epidemiology

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Springer Science & Business Media, Mar 9, 2013 - Science - 417 pages
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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Contents

Continuous Population Models
3
Discrete Population Models
51
Continuous SingleSpecies Population
95
Introduction and Mathematical Preliminaries 127
126
Continuous Models for Two Interacting Populations
171
Harvesting in twospecies models
231
Basic Ideas of Mathematical Epidemiology 275
274
Models for Populations with Age Structure
339
Epilogue
371
A Answers to Selected Exercises 375
374
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