ABSTRACT
In the previous chapters, we have revisited a few methods that can be used to obtain exact solutions of nonlinear diffusion-reaction equations, and gave several examples of exactly solvable models. Some of the methods are rather general, e.g., the method of piecewise-linear approximation, and their practical application is only limited by the amount of tedious calculations to be made; the others are ad hoc methods that are likely to be successful when applied to a few particular cases of high biological relevance. As a whole, this set of approaches and relevant examples provides, when applied properly, an efficient tool for studying biological invasions.
