Mathematical Models in Population Biology and Epidemiology

This book balances theory and application in the use of mathemathical models for addressing questions in epidemiology and population studies. This latest revised edition makes extensive use of both examples and exercise problems throughout the text.

As the world population exceeds the six billion mark, questions of population explosion, or how many people the earth can support, and under which conditions, become pressing. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing questions such as these. This book, which will include both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.

Free supplementary material available on the author's website involving problems using both Mathematica and Maple Text offers nice balance of theory and application Concentration is on applications in population biology, epidemiology, and resource management Includes supplementary material: sn.pub/extras

Auteur
Fred Brauer, Department of Mathematics, University of British Columbia, Canada; Carlos Castillo-Chavez, Mathematical, Computational and Modeling Sciences Center, Arizona State University, USA

Contenu
Part I: Simple Single-Species Models. 1. Continuous population models. 2. Discrete population models. 3. Continuous single-species population models with delay.- Part II: Models for Interacting Species. 4. Introduction and mathematical preliminaries. 5. Continuous models for two interacting populations. 6. Harvesting in two-species population models. 7. Multi-species population models.- Part III: Structured Population Models. 8. Models for population with age structure. 9. Models for populations with spatial distribution.