Essay
A phase portrait of a predator-prey system is given below in which F represents the population of foxes (in thousands) and R the population of rabbits (in thousands).
(a) Referring to the graph, what is a reasonable non-zero equilibrium solution for the system?
(b) Write down a possible system of differential equations which could have been used to produce the given graph.(c) Describe how each population changes as time passes, using the initial condition P indicated on the graph.(d) Use your description in part (c) to make a rough sketch of the graph of R and F as functions of time.
Correct Answer:

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(a) (4, 2)
(b)
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(c) ...View Answer
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(b)
(c) ...
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