Suppose that the DE dy/dt = y(70 - y ) - 600 models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years.
Suppose that the DE dy/dt = y(70 - y ) - 600 models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years.
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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Question
Suppose that the DE
dy/dt = y(70 - y ) - 600
models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years.
Transcribed Image Text:d) The stable critical point is
y =
while the unstable one is
Y =
Transcribed Image Text:e) Using the fourth order Runge-Kutta Method, with a step-size of h =
12
to approximate
y() if y(0) :
40, yields:
koi
ko2
ko3
ko4
and thus
y(1/12) = Þ(1/12) ~ y1 =
||
||
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