Consider the population model dy dt = 3y - y² - 2. This is a harvesting equation with a harvesting rate of 2. Find the steady states and their stability, and interpret your answer in terms of the population model. Is this overhar- vesting, underharvesting, or critical harvesting? Repeat the previous question with the equation dy dt = 3y - y² - - 4. Find the steady states (if any) and their stability. Is this overharvesting, underharvesting, or critical harvesting?
Consider the population model dy dt = 3y - y² - 2. This is a harvesting equation with a harvesting rate of 2. Find the steady states and their stability, and interpret your answer in terms of the population model. Is this overhar- vesting, underharvesting, or critical harvesting? Repeat the previous question with the equation dy dt = 3y - y² - - 4. Find the steady states (if any) and their stability. Is this overharvesting, underharvesting, or critical harvesting?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:8. Consider the population model
dy
dt
=
= 3y - y² - 2.
This is a harvesting equation with a harvesting rate of 2. Find the steady states and their
stability, and interpret your answer in terms of the population model. Is this overhar-
vesting, underharvesting, or critical harvesting?
9. Repeat the previous question with the equation
dy
dt
3y - y² - 4.
Find the steady states (if any) and their stability. Is this overharvesting, underharvesting,
or critical harvesting?
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