ABSTRACT

Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have

chapter 1|16 pages

Introduction

chapter 2|28 pages

Models of biological invasion

chapter 3|36 pages

Basic methods and relevant examples

chapter 4|36 pages

Single-species models

chapter 5|20 pages

Density-dependent diffusion

chapter 6|22 pages

Models of interacting populations

chapter 8|24 pages

Ecological examples and applications

chapter 9|10 pages

Appendix: Basic background mathematics