## AN INTERESTING CASE OF (POSIBLE) SPECIATION IN SNAILS II

## Dr. David Rutschman

### Department of Mathematics

### Northeastern Illinois University

Sympatric speciation, put simply, is the formation of a new
species within an existing one. Certain snails have shells that coil
either left or right, and in some cases, this coiling prevents certain
reproductive combinations. To make matters more interesting, a snail's
coiling depends on its mother's genes.
We will look at a mathematical model that describes this situation. The
model is a four dimensional discrete non-linear dynamical system. The
analysis of this model is far from complete, so this is an interesting
research topic (both analytical and numerical approaches can be used).

Dr. Rutschman's Talk