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Consider the following model of interacting species: R' = R(2 + 3R ? S) S' = S(1...

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Advance Math

Consider the following model of interacting species:

R' = R(2 + 3R ? S)

S' = S(1 ? S + 4R)

(a) Find all the equilibrium points, and determine the type ofthose points which are in the first quadrant (including those onthe axes)

(b) Plot the phase portrait of the system.

(c) If the initial conditions are R(0) = 1 and S(0) = 1, whatwill be the population size of each species when t ? ??

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