A population grows according to the logistic model 35 N = 1 +0.2e-1.3t where t is measured in years and N is measured in thousands. (a) What is r for this population? per year (b) What is the environmental carrying capacity K? thousand (c) This population is subject to harvesting. What is the optimum yield level? thousand
A population grows according to the logistic model 35 N = 1 +0.2e-1.3t where t is measured in years and N is measured in thousands. (a) What is r for this population? per year (b) What is the environmental carrying capacity K? thousand (c) This population is subject to harvesting. What is the optimum yield level? thousand
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![## Population Growth According to the Logistic Model
The population growth follows the logistic model described by the formula:
\[ N = \frac{35}{1 + 0.2e^{-1.3t}} \]
where \( t \) is measured in years and \( N \) is measured in thousands.
### Questions:
**(a) What is \( r \) for this population?**
\_\_\_\_\_\_\_\_\_\_\_ per year
**(b) What is the environmental carrying capacity \( K \)?**
\_\_\_\_\_\_\_\_\_\_\_ thousand
**(c) This population is subject to harvesting. What is the optimum yield level?**
\_\_\_\_\_\_\_\_\_\_\_ thousand](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d91cf51-36b6-472d-8082-aa48d6da434d%2F03649e7a-107b-4da4-99a3-cc10b904098e%2Ff9myvto_processed.png&w=3840&q=75)
Transcribed Image Text:## Population Growth According to the Logistic Model
The population growth follows the logistic model described by the formula:
\[ N = \frac{35}{1 + 0.2e^{-1.3t}} \]
where \( t \) is measured in years and \( N \) is measured in thousands.
### Questions:
**(a) What is \( r \) for this population?**
\_\_\_\_\_\_\_\_\_\_\_ per year
**(b) What is the environmental carrying capacity \( K \)?**
\_\_\_\_\_\_\_\_\_\_\_ thousand
**(c) This population is subject to harvesting. What is the optimum yield level?**
\_\_\_\_\_\_\_\_\_\_\_ thousand
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
