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Mathematics, 03.02.2020 23:45 millie54
The logistic equation for the population (in thousands) of a certain species is given by:
dp/dt= 3p- 2p²
a. sketch the direction field by using either a computer software package or the method of isoclines.
b. if the initial population is 3000 [that is, p(0) = 3], what can you say about the limiting population lim t →+[infinity] p(t)?
c. if p(0) = 0.8, what is lim t →+[infinity] p(t)?
d. can a population of 2000 ever decline to 800?
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The logistic equation for the population (in thousands) of a certain species is given by:
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