The logistic growth function P(t)= = PoK Po+(K-Po)e-rot is used to model population growth, where Po is the initial population at time t = 0, K is the carrying capacity, and ro is the base growth rate. The carrying capacity is a theoretical upper bound on the total population that the surrounding environment can support. The logistic model can be used for situations in which the initial population Po is above the carrying capacity K. Consider a deer population of 1500 on an island where a fire has reduced the carrying capacity to 1000 deer. Assuming a base growth rate of ro= 0.1, how fast (in deer per year) is the population declining when the population reaches 90% of the initial population? (Type the final answer to the nearest integer)

The logistic growth function P(t)= = PoK Po+(K-Po)e-rot is used to model population growth, where Po is the initial population at time t = 0, K is the carrying capacity, and ro is the base growth rate. The carrying capacity is a theoretical upper bound on the total population that the surrounding environment can support. The logistic model can be used for situations in which the initial population Po is above the carrying capacity K. Consider a deer population of 1500 on an island where a fire has reduced the carrying capacity to 1000 deer. Assuming a base growth rate of ro= 0.1, how fast (in deer per year) is the population declining when the population reaches 90% of the initial population? (Type the final answer to the nearest integer)

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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