The scenarios in Problems de-scribe the interaction of two and three different species of plants or animals. In each case set up a system of differential equations that might be used to model the situation. It is not necessary at this stage to solve the systems.
a. We have a population of rabbits (x) and foxes (y). In the absence of foxes, the rabbits obey the logistic population law. The foxes eat the rabbits, but will die from starvation if rabbits are not present. However, in this environmental system, hunters shoot rabbits but not foxes.
b. On Komodo Island we have three species: Komodo dragons W. deer 01, and a variety of plants (z). The dragons eat the deer the deer eat the plants and the plants compete among themselves.
c. We have three species: violets, ants and rodents. The violets produce seeds with density x. The violets in the absence of other species obey the logistic population law. Some of the violet seeds are eaten by the ants, whose density is y. The ants in the absence of other species also obey the logistic population law. And finally, rodents will die out unless they have violet seeds to eat.