Consider the non-linear autonomous system dr -(r – y)(1 – x – y) dt dy r(y +2). dt Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the non-linear autonomous system
dr
-(r – y)(1 – x – y)
dt
%3D
dy
r(y+ 2).
dt
• Find all equilibria.
• Identify all equilibria on the phase plane.
• Draw a couple of arrows in the phase plane near the equilibrium with a highest y
component.
Transcribed Image Text:Consider the non-linear autonomous system dr -(r – y)(1 – x – y) dt %3D dy r(y+ 2). dt • Find all equilibria. • Identify all equilibria on the phase plane. • Draw a couple of arrows in the phase plane near the equilibrium with a highest y component.
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