### Rabbits, Foxes and Mathematical Modelling

### Speaker

A/P Pang Yu Hin

### Description

We have all heard the saying that “population grows exponentially.” Obviously this is not happening in Singapore these days. Consider the care-free world of rabbits. Do rabbits grow exponentially? Introduce some foxes among the rabbits (foxes eat rabbits, you know). How would you expect the populations of foxes (predator) and rabbits (prey) to behave? One can attempt to model the ensuing population dynamics using simple mathematics. This is what I want to discuss in this workshop. I will start with the very primitive Lotka-Volterra mathematical model (1920s) and touch on some of my own recent work (also pretty primitive) in this area. I will show how the models can be implemented on a spreadsheet (Excel), which is an interesting and beneficial way to bring simple IT into mathematical modelling.

### Material

### Audience

Secondary School Teachers

### Date

24 July 04 (Sat), 9.30am — 12nn

### Venue

LT25, Faculty of Science, NUS

### Course Fees

FREE