Consider the competition model defined by where the populations x(t) and y(t) a...

Consider the competition model defined by

where the populations x(t) and y(t) are measured in thousands and t in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases:

(a) x(0) = 1, y(0) = 1

(b) x(0) = 4, y(0) = 10

(c) x(0) = 9, y(0) = 4

(d) x(0) = 5.5, y(0) = 3.5