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

Petrovskii, Sergei V.; Li, Bai-Lian

Models of Biological Invasion. Basic Methods and Relevant Examples. Single-species Models. Density-dependent Diffusion. Models of Interacting Populations. Alternative and Complementary Approaches. Ecological Examples and Applications.