Solve the problem.A population grows according to the logistic growth model, with growth parameter r = 1.6 and initial population given by p0 = 0.5. What does the logistic growth model predict in the long term for this population?

A. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 50%, 37.9%, 38.4%, 37.5%.
B. unlimited growth
C. The population settles into a two-period cycle alternating between a high-population period at 50% and a low-population period at 37.5% of the habitat's carrying capacity.
D. extinction
E. It stabilizes at 37.5% of the habitat's carrying capacity.


Answer: E

Mathematics

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