Many of the most intersting dynamics in the biological world
have to do with interactions between species. Mathematical models are required
if we hope to simulate these dynamics.
One of the first models to incorprate interactions between
predators and preys was proposed in 1925 by the American biophysicist Alfred
Lotka and the Italian mathematician Vito Volterra.
This model forms the basis of many models used today
in the analysis of poulation dynamics.
Here we deal with two species models, but it should be
kept in mind that Lotka-Volterra models may be extended to much more species
in interraction. Moreover these equations can be used for multi species
In chapter 1 we are interested in the basic model of
Lotka-Volterra, and analyse the equilibrium point.
In chapter 2 we used a close model involving a logistic