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A population of size No 2000 is living in an ecosystem in which its growth is governed by a logistic equation with r=0.05 and K-3000. Suppose a sudden environmental change causes a 25% drop in the carrying capacity. What will the population be in the long run after this environmental change? A. lim N(t)= 2250 1-400 B. lim N(t) = 2500 C. lim N(t) = 750 D. lim N(t) = 3000 E. None of the above

A population of size No 2000 is living in an ecosystem in which its growth is governed by a logistic equation with r=0.05 and K-3000. Suppose a sudden environmental change causes a 25% drop in the carrying capacity. What will the population be in the long run after this environmental change? A. lim N(t)= 2250 1-400 B. lim N(t) = 2500 C. lim N(t) = 750 D. lim N(t) = 3000 E. None of the above

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A population of size No 2000 is living in an ecosystem in which its growth is governed by a logistic equation with r= 0.05 and K= 3000. Suppose a sudden environmental change causes a 25% drop in the carrying capacity. What will the population be in the long run after this environmental change? A. lim N(t)= 2250 1-400 B. lim N(t) = 2500 1-400 C. lim N(t) = 750 1-400 D. lim N(t) = 3000 1-400 E. None of the above
Transcribed Image Text:A population of size No 2000 is living in an ecosystem in which its growth is governed by a logistic equation with r= 0.05 and K= 3000. Suppose a sudden environmental change causes a 25% drop in the carrying capacity. What will the population be in the long run after this environmental change? A. lim N(t)= 2250 1-400 B. lim N(t) = 2500 1-400 C. lim N(t) = 750 1-400 D. lim N(t) = 3000 1-400 E. None of the above
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