For the system of differential equations do the following. p' = -p² + q-1, q' = g(2-p-q) (a) Construct the phase plane, plotting all nullclines, labeling all equilibria with a black dot, and indicating the direction of motion.
For the system of differential equations do the following. p' = -p² + q-1, q' = g(2-p-q) (a) Construct the phase plane, plotting all nullclines, labeling all equilibria with a black dot, and indicating the direction of motion.
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
Problem 12CR
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Transcribed Image Text:(b) Obtain mathematical expressions for all equilibria. (Enter your answers as a comma-separated list of ordered pairs. Round your
answers to three decimal places.)
{(ô, â)} = {
Transcribed Image Text:For the system of differential equations do the following.
p' = -p² + q-1, q' = g(2 - p - q)
(a) Construct the phase plane, plotting all nullclines, labeling all equilibria with a black dot, and indicating the direction of motion.
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