Assume that the foxes eat rabbits at a rate proportional to the number of encounters
Chapter 7, Problem 11(choose chapter or problem)
Assume that the foxes eat rabbits at a rate proportional to the number of encounters between foxes and rabbits. This rate is proportional to the product of the number of rabbits and foxes. (If there are twice as many rabbits, there are twice as many encounters, and vice versa.) So, there are two rates operating on each population: The rabbit population is decreasing at a rate k3RF at the same time it is increasing at k1R. The fox population is increasing at a rate k4RF and decreasing at k2F. Write differential equations for dR/dt and for dF/dt under these conditions.
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