BACKGROUND Much of ecological theory and the understanding of ecological systems has
been based on the idea that the observed states and dynamics of ecological systems can be …

Body size determines a host of species traits that can affect the structure and dynamics of
food webs, and other ecological networks, across multiple scales of organization. Measuring …

This book is an introductory text to the methods and tools that are nowadays widely used
and accepted in the mathematical epidemiology literature. It is intended to start from a …

Difference equations usually describe the evolution of certain phenomena over the course of
time. For example, if a certain population has discrete generations, the size of the (n+ 1) st …

When the second edition of this book was nearly exhausted, and orders were grinding to a
halt, Springer urged me to do a third edition. At the age of 90 I said that was out of the …

Allee effects are (broadly) defined as a decline in individual fitness at low population size or
density. They can result in critical population thresholds below which populations crash to …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

" The mathematical theory of persistence answers questions such as which species, in a
mathematical model of interacting species, will survive over the long term. It applies to …

I Principles 1 1 Models of Systems 3 1. 1 Systems. Models. and Modeling.................... 3 1. 2
Uses of Scientific Models........................ 4 1. 3 Example: Island Biogeography..................... 6 1 …

This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …