version 1.2; 1.7.2003: applets running, i.e. every Internet Browser with Java VM can show the graphs. Just click example1.html / example2.html to try ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ version 1.1; 30.6.2003: now you can change the important values inside the graphical interface, i.e. you want have to recompile all the time to see how the changed parameters influence the function behaviour ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ version 1.0; 27.6.2003 This is my first graphics try in Java; after downloading and unpacking "modelPop.zip" please compile all .java files Executing "chaosPop" you will see the graph of the size of two identical populations, where the function is not depending on anything except the corresponding species mean fertility and last steps pop. size - Anyway you will see that for an fertility of 4.0 (set by default) the graphs go very different ways after only few steps despite of the fact that their initial population sizes are set to 0.98765000 and 0.98765001; thus they differ only by 0.00000001 This is chaotic behaviour. More on the topic can be found in: Sigmund, Karl: Games of Life, Wien 1993 Executing "interPop" you will see the graphs of two interacting populations, where predators population size is the green graph and preys pop size is the red graph. The initial values show a stable interaction between the species (so no one dominates the other) But changing those values just a little (some hints for good changes are given in "interPop.java") can cause the populations cease to exist. The equations I used are in the literature known as Lotka-Volterra model, the first mathematical model of interacting species.