Question: Predator - Prey problem. The following system i s a model for a population o f prey and predators. Here, x ( t ) i

Predator-Prey problem. The following system is a model for a population of prey and
predators. Here, x(t)is a population of rabbits, y(t)is a population of foxes:
dxdt=2x-3xy
dydt=-3y+xy
(a) Interpret the equation by considering the following questions.
What happens to the rabbits in the absenceof foxes?
What happens to the foxes in the absenceof rabbits?
What happens to the rabbits and to the foxes when the two interact?
(b) Find all equilibria and classify them.
Predator - Prey problem. The following system i s

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