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.
Host-Parasite Models Develop appropriate models of the two host-parasite scenarios suggested. HINT: You can adapt the predator-prey model.
(a) Consider a species of insect that depends for survival on a plant on which it feeds. It is to the advantage of the insect to keep the hosts alive. Write an appropriate system of differential equations for the parasite population P(t) and the host population H(t).
(b) How might your model adapt to the study of diseases caused by parasitic organisms?
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