Consider the case of rabbits and foxes in Australia. The number of rabbits is xt and. if
Chapter 0, Problem P6.18(choose chapter or problem)
Consider the case of rabbits and foxes in Australia. The number of rabbits is xt and. if left alone, it would grow indefinitely (until the food supply was exhausted) so that X\ KX\. However, with foxes present on the continent, we have .t] = kx-i ax2, where . is the number of foxes. Now, if the foxes must have rabbits to exist, we have x2 = -hx2 + bxiDetermine whether this system is stable and thus decays to the condition X\{t) = x2(t) = 0 at r = oo. What are the requirements on a, b. h, and k for a stable system? What is the result when k is greater than hi
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