Flies, frogs, and crocodiles coexist in an environment. To survive, frogs need to eat

Chapter 9, Problem 4

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Flies, frogs, and crocodiles coexist in an environment. To survive, frogs need to eat flies and crocodiles need to eat frogs. In the absence of frogs, the fly population will grow exponentiallyand the crocodile population will decay exponentially. In theabsence of crocodiles and flies, the frog population will decayexponentially. If , , and represent the populationsof these three species at time , write a system of differentialequations as a model for their evolution. If the constants inyour equation are all positive, explain why you have used plusor minus signs.

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