Creating a Predator-Prey Model Suppose that in the absence of foxes, a rabbit population i...

Creating a Predator-Prey Model Suppose that in the absence of foxes, a rabbit population increases by 15% per year; in the absence of rabbits, a fox population decreases by 25% per year; and in equilibrium, there are 1,000 foxes and 8,000 rabbits.

(a) Explain why the Volterra-Lotka equations are

(b) Suppose we introduce an element of “harvesting,” detrimental to the rate of growth of both prey and predator, so that the equations are modified as follows:

Determine which population is most affected by this harvesting strategy, by calculating the new equilibrium point.

Lotka-Volterra with Harvest

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