13. Consider the ODE system [x = − x(1+x+y) y = y(1+ɛx+y) Find all equilibria. Then use the Implicit Function Theorem to study the persistence of equilibria from ε = 0 to € / 0.
13. Consider the ODE system [x = − x(1+x+y) y = y(1+ɛx+y) Find all equilibria. Then use the Implicit Function Theorem to study the persistence of equilibria from ε = 0 to € / 0.
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:13. Consider the ODE system
= − x(1+x+y)
|j=y(1+x+y)
x =
Find all equilibria. Then use the Implicit Function Theorem to study the persistence of equilibria from
ε = 0 to ε = 0.
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