Question 2: 30 Marks Assume that a model describing two competing species in a closed environment...

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Question 2: 30 Marks Assume that a model describing two competing species in a closed environment is given by the following system of two differential equations: dx = 2x(1-2) dt dy dt ) - xy, = 3y(1-) - 2xy, (2.1) Draw the phase diagram of the system (note that phase diagrams drawn by an automated plotter will be awarded zero). (2.2) Is coexistence of the two species possible? Is coexistence likely? Justify your answer! (2.3) Explain what the outcome in the system will be if the initial values are x (0) = 4, y (0) = 4. Question 2: 30 Marks Assume that a model describing two competing species in a closed environment is given by the following system of two differential equations: dx = 2x(1-2) dt dy dt ) - xy, = 3y(1-) - 2xy, (2.1) Draw the phase diagram of the system (note that phase diagrams drawn by an automated plotter will be awarded zero). (2.2) Is coexistence of the two species possible? Is coexistence likely? Justify your answer! (2.3) Explain what the outcome in the system will be if the initial values are x (0) = 4, y (0) = 4.

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