The logistic growin P(t) = 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. POK Po+(K-Po)e-rot 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 long (in month) does it take the population to reach 90% of the initial population? (Type the final answer to the nearest integer)
The logistic growin P(t) = 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. POK Po+(K-Po)e-rot 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 long (in month) does it take the population to reach 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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage