Find and plot the null-clines the system of ODES d x(t) = −7x-x²-xy dt d dy(t) = −5y+xy. Sketch the phase portrait Explicitly calculate the equilibrium of the system and match these equilibrium to intersections on the phase plane. Explain why not every intersection corresponds to an equilibrium?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Find and plot the null-clines the system of ODEs
d
x(t)=-7x-x²-xy
dt
d
dty(t) = −5y+xy.
Sketch the phase portrait
Explicitly calculate the equilibrium of the system and match these equilibrium to
intersections on the phase plane.
Explain why not every intersection corresponds to an equilibrium?
Transcribed Image Text:Find and plot the null-clines the system of ODEs d x(t)=-7x-x²-xy dt d dty(t) = −5y+xy. Sketch the phase portrait Explicitly calculate the equilibrium of the system and match these equilibrium to intersections on the phase plane. Explain why not every intersection corresponds to an equilibrium?
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