Question

2. A population of sterile rabbits X(t) us preyed upon by a polulation of foxes Y(t). A model for this interaction is given by:

dX/dt=-aX, dY/dt=bXY-cY

where a, b and c are positive constant.
(a) Use cahin rule to obtain a relationship between density of foxes and density of rabbits.
(b) Sketch typical phase plane trajectories, indicating the direction of movement
(c) Is it possible for foxes to completely wipe out the rabbit population? Give reasons.​

Answer 1

Answer:

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