Solved: s x(t) and y(t) are measured in thousands and t in
Chapter 3, Problem 11E(choose chapter or problem)
Consider the competition model defined by
\(\frac{d x}{d t}=x(1-0.1 x-0.05 y)\)
\(\frac{d y}{d t}=y(1.7-0.1 y-0.15 x)\),
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
Text Transcription:
frac{d x}{d t}=x(1-0.1 x-0.05 y)
frac{d y}{d t}=y(1.7-0.1 y-0.15 x)
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