Finding the Model The scenarios in Problem describe 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.
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 the out unless they have violet seeds to eat. NOTE: Density is defined as population per unit area.
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