Suppose the population of a species of animals on an island is governed by the logistic model with relativerate of growth k = 0.05 and carrying capacity M= 15000. I.e., the population function P(t) satisfies theequation P' = bP(15000 - P), where b = k/M. If the current population is P(0) = 20000, which one of thefollowing is closest to P(1)?O a) 19700O b) 19890Oc) 19680Od) 19690Oe) 19805Of) 19742Motion

Given logistic model with relative growthk=0.05 and carrying capacityM=15000 is P'=bP(15000-P)…

P(t) satisfies the Suppose the population of a species of animals on an island is governed by the logistic model with relative rate of growth k = 0.05 and carrying capacity M= 15000. I.e., the population function equation P= bP(15000 - P), where b = k/M. If the current population is P(0) = 20000, which one of the following is closest to P(1)?

P(t) satisfies the Suppose the population of a species of animals on an island is governed by the logistic model with relative rate of growth k = 0.05 and carrying capacity M= 15000. I.e., the population function equation P= bP(15000 - P), where b = k/M. If the current population is P(0) = 20000, which one of the following is closest to P(1)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

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