Suppose a population of cells grows logistically according to equation p(t) = Nopo / {a po+ (No - a po ) e^(-Nt )} where a is a positive constant. If the per capita growth rate is No = 0.1 h -1 and the initial size of the population po is 10% of the carrying capacity No/a, how long will it take for the population to reach 95% of the carrying capacity? 26.2 hours 102.8 hours 51.4 hours 74.3 hours

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose a population of cells grows logistically according to equation
p(t) = Nopo / {a po+ (No - a po ) e^(-Nt )}
where a is a positive constant.
If the per capita growth rate is No = 0.1 h -1 and the initial size of the population po is 10% of the carrying capacity No/a, how long will it
take for the population to reach 95% of the carrying capacity?
O 26.2 hours
102.8 hours
51.4 hours
74.3 hours
Transcribed Image Text:Suppose a population of cells grows logistically according to equation p(t) = Nopo / {a po+ (No - a po ) e^(-Nt )} where a is a positive constant. If the per capita growth rate is No = 0.1 h -1 and the initial size of the population po is 10% of the carrying capacity No/a, how long will it take for the population to reach 95% of the carrying capacity? O 26.2 hours 102.8 hours 51.4 hours 74.3 hours
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