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.

Autorentext

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

Klappentext

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Inhalt

Preface * Ackn. * Prologue * Part I: Simple Single-Species Models * 1 Continuous Population Models * 2 Discrete Population Models * 3 Continuous single-species Population Models with Delays * Part II: Models for Interacting Species * 4 Introduction and Mathematical Preliminaries * 5 Continuous models for two interacting populations * 6 Harvesting in two-species models * Part III: Structured Population Models * 7 Basic ideas of Mathematical Epidemiology * 8 Models for population with age structure * Epilogue * Answers to selected Exercises * References