Introduction to Two Species Models: Predator-Prey
No species of animal lives in complete isolation. Since all animals must eat to live, all must interact, if not with other animals, then with plants. The model which we will build and then study considers the situation where one animal population serves as food for another. We will stylize the discussion by thinking of the predators as foxes, and the prey as rabbits. Note that the predators could equally well be rabbits and the “prey” lettuce. The important point is that the one species serves as the food for the other, and both grow according to some reasonable set of biological laws. The model is somewhat unrealistic in that few ecological systems are so simple as to have just two species present.
KeywordsEquilibrium Point Intrinsic Rate Scale Insect Rabbit Population Ladybird Beetle
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