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In: Advanced Math

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

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 of those points which are in the first quadrant (including those on the axes)

(b) Plot the phase portrait of the system.

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

Solutions

Expert Solution

Colby Messinger answered 1 year ago
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