Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Matrix Models for Population, Disease, and Evolutionary Dynamics
 
J. M. Cushing University of Arizona, Tucson, AZ
Softcover ISBN:  978-1-4704-7334-1
Product Code:  STML/106
List Price: $59.00
Individual Price: $47.20
MAA Member Price: $47.20
eBook ISBN:  978-1-4704-7643-4
Product Code:  STML/106.E
List Price: $59.00
Individual Price: $47.20
MAA Member Price: $47.20
Softcover ISBN:  978-1-4704-7334-1
eBook: ISBN:  978-1-4704-7643-4
Product Code:  STML/106.B
List Price: $118.00 $88.50
MAA Member Price: $94.40 $70.80
Click above image for expanded view
Matrix Models for Population, Disease, and Evolutionary Dynamics
J. M. Cushing University of Arizona, Tucson, AZ
Softcover ISBN:  978-1-4704-7334-1
Product Code:  STML/106
List Price: $59.00
Individual Price: $47.20
MAA Member Price: $47.20
eBook ISBN:  978-1-4704-7643-4
Product Code:  STML/106.E
List Price: $59.00
Individual Price: $47.20
MAA Member Price: $47.20
Softcover ISBN:  978-1-4704-7334-1
eBook ISBN:  978-1-4704-7643-4
Product Code:  STML/106.B
List Price: $118.00 $88.50
MAA Member Price: $94.40 $70.80
  • Book Details
     
     
    Student Mathematical Library
    Volume: 1062024; 274 pp
    MSC: Primary 92; 39; Secondary 37; 15

    This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Matrix algebra has been used in population biology since the 1940s and continues to play a major role in theoretical and applied dynamics for populations structured by age, body size or weight, disease states, physiological and behavioral characteristics, life cycle stages, or any of many other possible classification schemes. With a focus on matrix models, the book requires only first courses in multivariable calculus and matrix theory or linear algebra as prerequisites.

    The reader will learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of the analysis of discrete time dynamical systems (equilibria, stability, bifurcations, etc.). A recurrent theme in all chapters concerns the problem of extinction versus survival of a population. In addition to numerous examples that illustrate these fundamentals, several applications appear at the end of each chapter that illustrate the full cycle of model setup, mathematical analysis, and interpretation. The author has used the material over many decades in a variety of teaching and mentoring settings, including special topics courses and seminars in mathematical modeling, mathematical biology, and dynamical systems.

    Readership

    Undergraduate and graduate students interested in discrete time models in population, epidemic, and evolutionary dynamics.

  • Table of Contents
     
     
    • Chapters
    • Population models
    • Linear matrix models for structured populations
    • Nonlinear matrix models for structured populations
    • Disease and epidemic models
    • Darwinian dynamics
    • Appendices
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 1062024; 274 pp
MSC: Primary 92; 39; Secondary 37; 15

This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Matrix algebra has been used in population biology since the 1940s and continues to play a major role in theoretical and applied dynamics for populations structured by age, body size or weight, disease states, physiological and behavioral characteristics, life cycle stages, or any of many other possible classification schemes. With a focus on matrix models, the book requires only first courses in multivariable calculus and matrix theory or linear algebra as prerequisites.

The reader will learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of the analysis of discrete time dynamical systems (equilibria, stability, bifurcations, etc.). A recurrent theme in all chapters concerns the problem of extinction versus survival of a population. In addition to numerous examples that illustrate these fundamentals, several applications appear at the end of each chapter that illustrate the full cycle of model setup, mathematical analysis, and interpretation. The author has used the material over many decades in a variety of teaching and mentoring settings, including special topics courses and seminars in mathematical modeling, mathematical biology, and dynamical systems.

Readership

Undergraduate and graduate students interested in discrete time models in population, epidemic, and evolutionary dynamics.

  • Chapters
  • Population models
  • Linear matrix models for structured populations
  • Nonlinear matrix models for structured populations
  • Disease and epidemic models
  • Darwinian dynamics
  • Appendices
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.