Biologists release two otters (a type of water animal) into a river. They believe that the river could support a maximum population of 500 otters, and that with unlimited resources the otter population would increase by 50% each year. i. Write down a Pielou logistic equation to model the yearly otter population, of the form Yn+1 Xyn 1+ Byn for suitable a, ẞER. ii. By solving this equation, make a prediction of the population after 5 years.
Biologists release two otters (a type of water animal) into a river. They believe that the river could support a maximum population of 500 otters, and that with unlimited resources the otter population would increase by 50% each year. i. Write down a Pielou logistic equation to model the yearly otter population, of the form Yn+1 Xyn 1+ Byn for suitable a, ẞER. ii. By solving this equation, make a prediction of the population after 5 years.
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

Transcribed Image Text:Biologists release two otters (a type of water animal) into a river. They believe
that the river could support a maximum population of 500 otters, and that with
unlimited resources the otter population would increase by 50% each year.
i. Write down a Pielou logistic equation to model the yearly otter population, of
the form
Yn+1
Xyn
1+ Byn
for suitable a, ẞER.
ii. By solving this equation, make a prediction of the population after 5 years.
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

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,

