Unformatted text preview: Math 464, Worksheet 22
1. Find all equilibria for the model R
− 0.002RF
100
∆F = 0.0004RF − 0.01F
∆R = kR 1 − 2. Find all eigenvalues for the equilibrium that is NOT R = 100, F = 0. You should be able to
convince yourself and me that your eigenvalues are complex.
3. Find all equilibria for the model R
− cRF
100
∆F = 0.0004RF − 0.01F
∆R = 0.02R 1 − 4. Find all eigenvalues for the equilibrium that is NOT R = 100, F = 0. You should be able to
convince yourself and me that your eigenvalues are complex.
5. Find all equilibria for the model R
100
∆F = bRF − 0.01F
∆R = 0.02R 1 − − 0.002RF 6. Find all eigenvalues for the equilibrium that is NOT R = 100, F = 0. You should be able to
convince yourself and me that your eigenvalues are complex.
7. Compute the absolute value of your eigenvalues. For what value(s) of b will you see cycles
with constant amplitude? 1 ...
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This note was uploaded on 10/12/2011 for the course MATH 464 taught by Professor Dougbullock during the Fall '08 term at Boise State.
 Fall '08
 DougBullock
 Math

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