Question

The system of differential equations dx/dy = 0.4x − 0.004x2 − 0.001xy dy/dt = 0.6y −...

The system of differential equations

dx/dy = 0.4x − 0.004x2 − 0.001xy

dy/dt = 0.6y − 0.001y2 − 0.008xy

is a model for the populations of two species.

(a) Does the model describe cooperation, or competition, or a predator-prey relationship?

predator-prey relationship

competition   

cooperation


(b) Find the equilibrium solutions. (Enter solutions from smallest to largest value of x. If solutions have the same value of x, enter them from smallest to largest y.)

(x, y) = (___)

(x, y) = (___)

(x, y) = (___)

(x, y) =(___)

Please show all work neatly, line by line, and please justify steps so that I can learn.

Thank you!

Math   Calculus   
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